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

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

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

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

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

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