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

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


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

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

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

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

Combine like terms: -36x + 32x = -4x
(-32 + -4x + 36x2) = 0

Solving
-32 + -4x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -1x + 9x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + -9x)' equal to zero and attempt to solve:

Simplifying
-8 + -9x = 0

Solving
-8 + -9x = 0

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

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

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

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

Divide each side by '-9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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 = {-0.8888888889, 1}

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