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

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Solution for (8x-9)(4x+8)=0 equation: 


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

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

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

Multiply (-9 + 8x) * (8 + 4x)
(-9(8 + 4x) + 8x * (8 + 4x)) = 0
((8 * -9 + 4x * -9) + 8x * (8 + 4x)) = 0
((-72 + -36x) + 8x * (8 + 4x)) = 0
(-72 + -36x + (8 * 8x + 4x * 8x)) = 0
(-72 + -36x + (64x + 32x2)) = 0

Combine like terms: -36x + 64x = 28x
(-72 + 28x + 32x2) = 0

Solving
-72 + 28x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-18 + 7x + 8x2) = 0

Factor a trinomial.
4((-2 + -1x)(9 + -8x)) = 0

Ignore the factor 4.

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 '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {-2, 1.125}

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