3(x-1)(x+2)=3x-6

Solution for 3(x-1)(x+2)=3x-6 equation:

Simplifying
3(x + -1)(x + 2) = 3x + -6

Reorder the terms:
3(-1 + x)(x + 2) = 3x + -6

Reorder the terms:
3(-1 + x)(2 + x) = 3x + -6

Multiply (-1 + x) * (2 + x)
3(-1(2 + x) + x(2 + x)) = 3x + -6
3((2 * -1 + x * -1) + x(2 + x)) = 3x + -6
3((-2 + -1x) + x(2 + x)) = 3x + -6
3(-2 + -1x + (2 * x + x * x)) = 3x + -6
3(-2 + -1x + (2x + x2)) = 3x + -6

Combine like terms: -1x + 2x = 1x
3(-2 + 1x + x2) = 3x + -6
(-2 * 3 + 1x * 3 + x2 * 3) = 3x + -6
(-6 + 3x + 3x2) = 3x + -6

Reorder the terms:
-6 + 3x + 3x2 = -6 + 3x

Add '6' to each side of the equation.
-6 + 3x + 6 + 3x2 = -6 + 6 + 3x

Reorder the terms:
-6 + 6 + 3x + 3x2 = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
0 + 3x + 3x2 = -6 + 6 + 3x
3x + 3x2 = -6 + 6 + 3x

Combine like terms: -6 + 6 = 0
3x + 3x2 = 0 + 3x
3x + 3x2 = 3x

Add '-3x' to each side of the equation.
3x + -3x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
0 + 3x2 = 3x + -3x
3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
3x2 = 0

Solving
3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}