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

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

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

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

Reorder the terms:
-3x + x2 = 12 + -3(-2 + x)
-3x + x2 = 12 + (-2 * -3 + x * -3)
-3x + x2 = 12 + (6 + -3x)

Combine like terms: 12 + 6 = 18
-3x + x2 = 18 + -3x

Add '3x' to each side of the equation.
-3x + 3x + x2 = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
0 + x2 = 18 + -3x + 3x
x2 = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
x2 = 18 + 0
x2 = 18

Solving
x2 = 18

Solving for variable 'x'.

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

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}