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

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Solution for (9x+6)(4x-4)=0 equation: 


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

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

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

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

Combine like terms: 24x + -36x = -12x
(-24 + -12x + 36x2) = 0

Solving
-24 + -12x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-2 + -1x + 3x2) = 0

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

Ignore the factor 12.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-0.6666666667, 1}

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