(4x-8)(9x+1)=0

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Solution for (4x-8)(9x+1)=0 equation: 


Simplifying
(4x + -8)(9x + 1) = 0

Reorder the terms:
(-8 + 4x)(9x + 1) = 0

Reorder the terms:
(-8 + 4x)(1 + 9x) = 0

Multiply (-8 + 4x) * (1 + 9x)
(-8(1 + 9x) + 4x * (1 + 9x)) = 0
((1 * -8 + 9x * -8) + 4x * (1 + 9x)) = 0
((-8 + -72x) + 4x * (1 + 9x)) = 0
(-8 + -72x + (1 * 4x + 9x * 4x)) = 0
(-8 + -72x + (4x + 36x2)) = 0

Combine like terms: -72x + 4x = -68x
(-8 + -68x + 36x2) = 0

Solving
-8 + -68x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -17x + 9x2) = 0

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

Ignore the factor 4.

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

Simplifying
-1 + -9x = 0

Solving
-1 + -9x = 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 + -9x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9x = 0 + 1
-9x = 0 + 1

Combine like terms: 0 + 1 = 1
-9x = 1

Divide each side by '-9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

Subproblem 2
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
Solution
x = {-0.1111111111, 2}

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