(5x+6)(4x-6)=

Solution for (5x+6)(4x-6)= equation:

Simplifying
(5x + 6)(4x + -6) = 0

Reorder the terms:
(6 + 5x)(4x + -6) = 0

Reorder the terms:
(6 + 5x)(-6 + 4x) = 0

Multiply (6 + 5x) * (-6 + 4x)
(6(-6 + 4x) + 5x * (-6 + 4x)) = 0
((-6 * 6 + 4x * 6) + 5x * (-6 + 4x)) = 0
((-36 + 24x) + 5x * (-6 + 4x)) = 0
(-36 + 24x + (-6 * 5x + 4x * 5x)) = 0
(-36 + 24x + (-30x + 20x2)) = 0

Combine like terms: 24x + -30x = -6x
(-36 + -6x + 20x2) = 0

Solving
-36 + -6x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -3x + 10x2) = 0

Factor a trinomial.
2((-6 + -5x)(3 + -2x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-1.2, 1.5}