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

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

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

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

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

Multiply (-2 + 9x) * (3 + 6x)
(-2(3 + 6x) + 9x * (3 + 6x)) = 0
((3 * -2 + 6x * -2) + 9x * (3 + 6x)) = 0
((-6 + -12x) + 9x * (3 + 6x)) = 0
(-6 + -12x + (3 * 9x + 6x * 9x)) = 0
(-6 + -12x + (27x + 54x2)) = 0

Combine like terms: -12x + 27x = 15x
(-6 + 15x + 54x2) = 0

Solving
-6 + 15x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 5x + 18x2) = 0

Factor a trinomial.
3((-1 + -2x)(2 + -9x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {-0.5, 0.2222222222}