(9x-6)(3x+2)=0

Solution for (9x-6)(3x+2)=0 equation:

Simplifying
(9x + -6)(3x + 2) = 0

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

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

Multiply (-6 + 9x) * (2 + 3x)
(-6(2 + 3x) + 9x * (2 + 3x)) = 0
((2 * -6 + 3x * -6) + 9x * (2 + 3x)) = 0
((-12 + -18x) + 9x * (2 + 3x)) = 0
(-12 + -18x + (2 * 9x + 3x * 9x)) = 0
(-12 + -18x + (18x + 27x2)) = 0

Combine like terms: -18x + 18x = 0
(-12 + 0 + 27x2) = 0
(-12 + 27x2) = 0

Solving
-12 + 27x2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 27x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 27x2 = 0 + 12
27x2 = 0 + 12

Combine like terms: 0 + 12 = 12
27x2 = 12

Divide each side by '27'.
x2 = 0.4444444444

Simplifying
x2 = 0.4444444444

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