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

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


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

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

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

Multiply (4 + 5x) * (-4 + 6x)
(4(-4 + 6x) + 5x * (-4 + 6x)) = 0
((-4 * 4 + 6x * 4) + 5x * (-4 + 6x)) = 0
((-16 + 24x) + 5x * (-4 + 6x)) = 0
(-16 + 24x + (-4 * 5x + 6x * 5x)) = 0
(-16 + 24x + (-20x + 30x2)) = 0

Combine like terms: 24x + -20x = 4x
(-16 + 4x + 30x2) = 0

Solving
-16 + 4x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 2x + 15x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 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 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

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

Simplifying
2 + -3x = 0

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

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-0.8, 0.6666666667}

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