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

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

Simplifying
-3x(3x + -2) + (2 + -3x) * 2 = 0

Reorder the terms:
-3x(-2 + 3x) + (2 + -3x) * 2 = 0
(-2 * -3x + 3x * -3x) + (2 + -3x) * 2 = 0
(6x + -9x2) + (2 + -3x) * 2 = 0

Reorder the terms for easier multiplication:
6x + -9x2 + 2(2 + -3x) = 0
6x + -9x2 + (2 * 2 + -3x * 2) = 0
6x + -9x2 + (4 + -6x) = 0

Reorder the terms:
4 + 6x + -6x + -9x2 = 0

Combine like terms: 6x + -6x = 0
4 + 0 + -9x2 = 0
4 + -9x2 = 0

Solving
4 + -9x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -9x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x2 = 0 + -4
-9x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-9x2 = -4

Divide each side by '-9'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

Take the square root of each side:
x = {-0.666666667, 0.666666667}