3x^2-2x(x-4)=x-12

Solution for 3x^2-2x(x-4)=x-12 equation:

Simplifying
3x2 + -2x(x + -4) = x + -12

Reorder the terms:
3x2 + -2x(-4 + x) = x + -12
3x2 + (-4 * -2x + x * -2x) = x + -12
3x2 + (8x + -2x2) = x + -12

Reorder the terms:
8x + 3x2 + -2x2 = x + -12

Combine like terms: 3x2 + -2x2 = 1x2
8x + 1x2 = x + -12

Reorder the terms:
8x + 1x2 = -12 + x

Solving
8x + 1x2 = -12 + x

Solving for variable 'x'.

Reorder the terms:
12 + 8x + -1x + 1x2 = -12 + x + 12 + -1x

Combine like terms: 8x + -1x = 7x
12 + 7x + 1x2 = -12 + x + 12 + -1x

Reorder the terms:
12 + 7x + 1x2 = -12 + 12 + x + -1x

Combine like terms: -12 + 12 = 0
12 + 7x + 1x2 = 0 + x + -1x
12 + 7x + 1x2 = x + -1x

Combine like terms: x + -1x = 0
12 + 7x + 1x2 = 0

Factor a trinomial.
(4 + x)(3 + x) = 0

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-4, -3}