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

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

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

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

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

Multiply (2 + 9x) * (-6 + 2x)
(2(-6 + 2x) + 9x * (-6 + 2x)) = 0
((-6 * 2 + 2x * 2) + 9x * (-6 + 2x)) = 0
((-12 + 4x) + 9x * (-6 + 2x)) = 0
(-12 + 4x + (-6 * 9x + 2x * 9x)) = 0
(-12 + 4x + (-54x + 18x2)) = 0

Combine like terms: 4x + -54x = -50x
(-12 + -50x + 18x2) = 0

Solving
-12 + -50x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -25x + 9x2) = 0

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

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.2222222222, 3}