9x(x-2)+6=3(-6x+2)

Solution for 9x(x-2)+6=3(-6x+2) equation:

Simplifying
9x(x + -2) + 6 = 3(-6x + 2)

Reorder the terms:
9x(-2 + x) + 6 = 3(-6x + 2)
(-2 * 9x + x * 9x) + 6 = 3(-6x + 2)
(-18x + 9x2) + 6 = 3(-6x + 2)

Reorder the terms:
6 + -18x + 9x2 = 3(-6x + 2)

Reorder the terms:
6 + -18x + 9x2 = 3(2 + -6x)
6 + -18x + 9x2 = (2 * 3 + -6x * 3)
6 + -18x + 9x2 = (6 + -18x)

Add '-6' to each side of the equation.
6 + -18x + -6 + 9x2 = 6 + -6 + -18x

Reorder the terms:
6 + -6 + -18x + 9x2 = 6 + -6 + -18x

Combine like terms: 6 + -6 = 0
0 + -18x + 9x2 = 6 + -6 + -18x
-18x + 9x2 = 6 + -6 + -18x

Combine like terms: 6 + -6 = 0
-18x + 9x2 = 0 + -18x
-18x + 9x2 = -18x

Add '18x' to each side of the equation.
-18x + 18x + 9x2 = -18x + 18x

Combine like terms: -18x + 18x = 0
0 + 9x2 = -18x + 18x
9x2 = -18x + 18x

Combine like terms: -18x + 18x = 0
9x2 = 0

Solving
9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
x2 = 0

Simplifying
x2 = 0

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