(5x-6)(6x+8)=

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Solution for (5x-6)(6x+8)= equation: 


Simplifying
(5x + -6)(6x + 8) = 0

Reorder the terms:
(-6 + 5x)(6x + 8) = 0

Reorder the terms:
(-6 + 5x)(8 + 6x) = 0

Multiply (-6 + 5x) * (8 + 6x)
(-6(8 + 6x) + 5x * (8 + 6x)) = 0
((8 * -6 + 6x * -6) + 5x * (8 + 6x)) = 0
((-48 + -36x) + 5x * (8 + 6x)) = 0
(-48 + -36x + (8 * 5x + 6x * 5x)) = 0
(-48 + -36x + (40x + 30x2)) = 0

Combine like terms: -36x + 40x = 4x
(-48 + 4x + 30x2) = 0

Solving
-48 + 4x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 2x + 15x2) = 0

Factor a trinomial.
2((-4 + -3x)(6 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
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
Solution
x = {-1.333333333, 1.2}

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