(9x+6)(2x-8)=0

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Solution for (9x+6)(2x-8)=0 equation: 


Simplifying
(9x + 6)(2x + -8) = 0

Reorder the terms:
(6 + 9x)(2x + -8) = 0

Reorder the terms:
(6 + 9x)(-8 + 2x) = 0

Multiply (6 + 9x) * (-8 + 2x)
(6(-8 + 2x) + 9x * (-8 + 2x)) = 0
((-8 * 6 + 2x * 6) + 9x * (-8 + 2x)) = 0
((-48 + 12x) + 9x * (-8 + 2x)) = 0
(-48 + 12x + (-8 * 9x + 2x * 9x)) = 0
(-48 + 12x + (-72x + 18x2)) = 0

Combine like terms: 12x + -72x = -60x
(-48 + -60x + 18x2) = 0

Solving
-48 + -60x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-8 + -10x + 3x2) = 0

Factor a trinomial.
6((-2 + -3x)(4 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
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

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.6666666667, 4}

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