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

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

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

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

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

Multiply (-3 + 9x) * (2 + 6x)
(-3(2 + 6x) + 9x * (2 + 6x)) = 0
((2 * -3 + 6x * -3) + 9x * (2 + 6x)) = 0
((-6 + -18x) + 9x * (2 + 6x)) = 0
(-6 + -18x + (2 * 9x + 6x * 9x)) = 0
(-6 + -18x + (18x + 54x2)) = 0

Combine like terms: -18x + 18x = 0
(-6 + 0 + 54x2) = 0
(-6 + 54x2) = 0

Solving
-6 + 54x2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 54x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 54x2 = 0 + 6
54x2 = 0 + 6

Combine like terms: 0 + 6 = 6
54x2 = 6

Divide each side by '54'.
x2 = 0.1111111111

Simplifying
x2 = 0.1111111111

Take the square root of each side:
x = {-0.333333333, 0.333333333}