Solve by completing the square. 3x2 - 8x - 2 = 0?
612379
1. Move the non variable constant to the opposite side\n3x^2 - 8x = 2\n\n2. Factor out the 'a' term\n3(x^2 - 8/3x) = 2\n\n3. Take 1/2 the middle term, square it, and add it to both sides\n1/2 of 8/3 = 8/6\n3(x^2 - 8/3x + (8/6)^2) = 2 + (8/6)^2\n\n4. Factor and simplify\n3(x - 8/6)^2 = 2 + 64/36\n3(x - 8/6)^2 = 72/36 + 64/36\n3(x - 8/6)^2 = 136/36\n(x - 8/6)^2 = 136/108\n(x - 8/6)^2 = 68/54\n(x - 8/6)^2 = 34/27\nx - 8/6 = sqrt(34/27)\n\nx = 8/6 + sqrt(34/27)\nand\nx = 8/6 - sqrt(34/27)
221619
x-4x+9+3(-2+1)+2=0\nx-4x+9+3*(-1)+2=0\nx-4x+9-3+2=0\n-3x+8=0\n-3x=-8\nx=8/3\nThis is if the equation was x-4x+9=-3(-2+1)-2, but if it was just -4x+9 = -3(-2+1)-2 than the answer is 2 (-4x=-8    x=2).
866633
9x^2+18x+8=0\n\n(3x + 2)(3x + 4)=0\n3x+2=0\nx=-2/3\n3x+4=0\nx=-4/3
942253
the answer is -3x square root of 2
243121
first square two sides\nyou will get 3x+1 =9+6√(x-4)+x-4\n= (x-2)=6√(x-4)  square it \nyou will get x^2 -4x +4=9(x-4)\n=x^2 -13x + 40=0\nfactor  (x-5)(x-8)\nso x=5 or x=8
707648
Is this your equation?\nx - 2 - 2 - 3x = 0\n\n-2x - 4 = 0\n-2x = 4\nx = 4/-2\nx = -2\n\nThe answer is:\n x can either equal *-2* or *you made a mistake*
676772
If you must factor, this is how it is done...\n\n2x^4 - 16x^2 = 0\nx^4 - 8x^2 = 0\nx^2(x^2 - 8) = 0\nx^2 = 0 and x^2 = 8\nx = 0 and x = +/-sqrt(8)\n\nThere...
869879
Complete the square:\nx^2 - 4x + 4 + y^2 + 6y + 9 = 12+4+9\n(x-2)^2 + (y+3)^2 = 25 = 5^2\nRadius 5, centre (2,-3).
574841
-2(x+10)=3(2x-4)\n-2x-20 = 6x-12\n-2x = 6x+8\n-8x = 8\nx = -1
708943
You have to complete the square.\n\ny = a(x^2 + b/a x) + c\ny = a(x^2 +b/a x + b^2/4a^2) + c - b^2/4a\ny = a(x + b/2a)^2 + (4ac - b^2)/4a\n\n[4ay - (4ac - b^2)]/4a = a(x + b/2a)^2\n[4ay - 4ac + b^2]/(4a^2) = (x + b/2a)^2\n\n+/- sqrt(4ay - 4ac + b^2)/2a = x + b/2a\n\nx = (-b +/- sqrt(4ay - 4ac + b^2))/2a
1056888
2(x^2-4x)-1=\n2(x^2-4x+4) -8-1=\n2(x-2)^2-9
670230
x^2+4x+Y^2-8Y+16=0\nX^2+4x+Y^2-8Y=-16\nX^2+4x+4+Y^2-8Y+16=-16+16+4\nX^2+4x+4+Y^2-8Y+16=4\n(X+2)^2+(Y-4)^2=4\nR=Square root 4\nR=2
753426
X2   5x - 4y = 1\n10x -8y =2\n-10x + 8y = -3\n-------------------------\n  0=-1                NO SOLUTION
929178
4(-2)² + 8(-2) + 3(-2) + 6\n= 4(4) - 16 - 6 + 6\n= 16 - 16 + 6 - 6 = 0
382213
A perfect square trinomial is in the form\nm² + 2am + a²\n\nSince you know 2a is -8, a must be -4\nSince n = a², n = (-4)² = 16
896780
Sqrt[8]=Sqrt[4x2]=\nSqrt[4]xSqrt[2]=\n2xSqrt[2]=\n2Sqrt[2]
207106
x^2-3=-2\nx^2=-2+3\nx^2= 1\nx=1\n\n1^2+-3+2=0