(9x+3)(8x-4)=

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Solution for (9x+3)(8x-4)= equation: 


Simplifying
(9x + 3)(8x + -4) = 0

Reorder the terms:
(3 + 9x)(8x + -4) = 0

Reorder the terms:
(3 + 9x)(-4 + 8x) = 0

Multiply (3 + 9x) * (-4 + 8x)
(3(-4 + 8x) + 9x * (-4 + 8x)) = 0
((-4 * 3 + 8x * 3) + 9x * (-4 + 8x)) = 0
((-12 + 24x) + 9x * (-4 + 8x)) = 0
(-12 + 24x + (-4 * 9x + 8x * 9x)) = 0
(-12 + 24x + (-36x + 72x2)) = 0

Combine like terms: 24x + -36x = -12x
(-12 + -12x + 72x2) = 0

Solving
-12 + -12x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + -1x + 6x2) = 0

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

Ignore the factor 12.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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

Simplifying
1 + -2x = 0

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.3333333333, 0.5}

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