how to solve the equation |3(x + 1) + 6| =18?
957282
|3(x + 1) + 6| =18\nie |3x + 9| = 18\nwhence |x + 3| = 6\nThere are 2 different methods to solve such an equation\n\nOne is to use the definition that\n|N| = N if N ≥ 0\nand = -N if N < 0\n\nThe other is to use the propety that |N|² = N²\n\nMethod 1\nSo x + 3 = ±6\nWhence x = -9 or 3\n\nMethod 2\n|x + 3|² = 6²\nie x² + 6x + 9 = 36\nx² + 6x - 27 = 0\n(x + 9)(x - 3) = 0\nx = -9 or 3
282800
3(4x+1)-26=6x+1\n12x+3-26=6x+1\n6x=26-2\n\nx=24/6=4\n\neasy wasnt it
1112077
8/(x+3) = (1+1)/x\nCross Multiply, so:\n8x=(1+1)(x+3)\n8x=2x+6\n8x-2x=2x+6-2x\n6x=6\nx=1
735319
easy 24. \n5 (x3) =15\n6 (x3) = 18\n7 (x3) = 21\n8 (x3) = 24
1000586
# 1    \n(x+1)*(x+6)=x2 +x+6x+6=x2 +7x +6\n#2\n(y-6)*(y-5)= y2-5y-6y+30= y2-11y+30\n#3\n(a-2) * (a+10)=a2 +10a-2a -20= a2  +8a -20\n#4\n(x-1) *(x+1)= x2 -x+x -1= x2 - 1
735202
You mean find solutions for x when 2x^2+12x+18=0.\n\n  First we can divide thru by 2 just to make it simpler.\n x^2+6x+9=0 , then factor and get\n(x+3)^2=0\nso x=3.
172253
6x= -15-3\n6x= -18\nx= -18/6\nx= -3
129694
-6 <= 2x-4 < 8 |:2\n-3 <= x-2 < 4   |+2\n-1 <= x < 6 \nso, x is between -1 (included) and 6 (not included)
1093922
if y = 6-x\nthen you just put that in for y\n2x-3(6-x) = -2\n2x- 18 + 3x = -2\n5x - 18 = -2\n5x = -20\nx = -4
979201
First of all, solve both equations. So the first would be..\n\n3(2x+1)>5-2x \n     6x+3>5-2x (add 2x to both sides)\n         8x>2 (take 3 from both sides)\n           x>0.25 (divide both sides by 8)\n\nThe second would be..\n\n2x^2-7x+3>0\n4x^2-14x+6>0 (multiply both sides by 2)\n(2x-6)(2x-1)>0 (factorisation)\n \nReplacing > with =..\n\n2x-6=0,      2x-1=0\nx=3,                 x=0.5\n\nSo to satisfy both criteria, x must be greater than 0.25, greater than 0.5 and greater than 3. \n\nSo the answer is that x > 3.
483173
((6p - 18)/(9p)) / ((3p - 9)/(p^2 + 2p))\n((6(p - 3))/3(3p)) / ((3(p - 3))/(p(p + 2)))\n((2(p - 3))/(3p)) / ((3(p - 3))/(p(p + 2)))\n((2(p - 3))/(3p)) * ((p(p + 2))/(3(p - 3))\n(2p(p - 3)(p + 2))/((9p)(p - 3))\n(2p(p + 2))/(9p)\n(2(p + 2))/9\n(2p + 4)/9
774020
3x^2(5x^2 – 2x + 6) – 2x(x^2 + 3x + 9)\n15x^4-6x^3+18x^2-2x^3-6x^2-18x\n15x^4-8x^3+12x^2-18x\nx(15x^3-8x^2+12x-18)
823306
1 1/3  X  6  =  (1 + 1/3) X 6  =  (1 X 6) + (1/3 X 6)  =  6 + 2
779831
Answer 1:\n3(x + 1) = 24\n3x + 3 = 24\n3x + 3 - 3 = 24 - 3 (Subtract 3 from both sides)\n3x = 21\n3x/3 = 21/3 (Divide both sides by 3)\nx = 21/3\nx = 7\n\nAnswer 2:\n3(x + 2) = -9 - 2x\n3x + 6 = -9-2x\n3x + 2x + 6 = -9 - 2x + 2x (Add 2x to both sides)\n5x + 6 = -9\n5x + 6 - 6 = -9 - 6 (Subtract 6 from both sides)\n5x = -15\n5x/5 = -15/5 (Divivde both sides by 5)\nx = -15/5\nx = -3\n\nAnswer 3:\n3(x + 2) = 9 + 2(x+4)\n3x + 6 = 9 + 2x + 8\n3x + 6 = 2x + 17\n3x + 6 - 6 = 2x + 17 - 6 (Subtract 6 from both sides)\n3x = 2x + 11\n3x - 2x = 2x - 2x + 11 (Subract 2x from both sides)\nx = 11
703982
1.\n3x + 6/((x + 1)(x + 2)) Factor 3 out of the top.\n[3(x + 2)]/[(x + 1)(x + 2)] x+2's cancel\n3/(x + 1) <-- This is simplified.\n\nI don't have the energy to do the other ones right now.  :/
749417
-14‹2x-6≤12\n -14+6<2x<=12+6\n -8<2x<=18\n -4<x<=9
431729
6(8s-3)=48s-18\n\n\nactually, the correct answer is all real numbers. any number you substitute for "s" will work