(9x-4)(2x+6)=

Solution for (9x-4)(2x+6)= equation:

Simplifying
(9x + -4)(2x + 6) = 0

Reorder the terms:
(-4 + 9x)(2x + 6) = 0

Reorder the terms:
(-4 + 9x)(6 + 2x) = 0

Multiply (-4 + 9x) * (6 + 2x)
(-4(6 + 2x) + 9x * (6 + 2x)) = 0
((6 * -4 + 2x * -4) + 9x * (6 + 2x)) = 0
((-24 + -8x) + 9x * (6 + 2x)) = 0
(-24 + -8x + (6 * 9x + 2x * 9x)) = 0
(-24 + -8x + (54x + 18x2)) = 0

Combine like terms: -8x + 54x = 46x
(-24 + 46x + 18x2) = 0

Solving
-24 + 46x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 23x + 9x2) = 0

Factor a trinomial.
2((-3 + -1x)(4 + -9x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-3, 0.4444444444}