(9x-6)(4x+8)=

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Solution for (9x-6)(4x+8)= equation: 


Simplifying
(9x + -6)(4x + 8) = 0

Reorder the terms:
(-6 + 9x)(4x + 8) = 0

Reorder the terms:
(-6 + 9x)(8 + 4x) = 0

Multiply (-6 + 9x) * (8 + 4x)
(-6(8 + 4x) + 9x * (8 + 4x)) = 0
((8 * -6 + 4x * -6) + 9x * (8 + 4x)) = 0
((-48 + -24x) + 9x * (8 + 4x)) = 0
(-48 + -24x + (8 * 9x + 4x * 9x)) = 0
(-48 + -24x + (72x + 36x2)) = 0

Combine like terms: -24x + 72x = 48x
(-48 + 48x + 36x2) = 0

Solving
-48 + 48x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-4 + 4x + 3x2) = 0

Factor a trinomial.
12((-2 + -1x)(2 + -3x)) = 0

Ignore the factor 12.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 0.6666666667}

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