8(9x-1)(-5x-4)=0

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Solution for 8(9x-1)(-5x-4)=0 equation: 


Simplifying
8(9x + -1)(-5x + -4) = 0

Reorder the terms:
8(-1 + 9x)(-5x + -4) = 0

Reorder the terms:
8(-1 + 9x)(-4 + -5x) = 0

Multiply (-1 + 9x) * (-4 + -5x)
8(-1(-4 + -5x) + 9x * (-4 + -5x)) = 0
8((-4 * -1 + -5x * -1) + 9x * (-4 + -5x)) = 0
8((4 + 5x) + 9x * (-4 + -5x)) = 0
8(4 + 5x + (-4 * 9x + -5x * 9x)) = 0
8(4 + 5x + (-36x + -45x2)) = 0

Combine like terms: 5x + -36x = -31x
8(4 + -31x + -45x2) = 0
(4 * 8 + -31x * 8 + -45x2 * 8) = 0
(32 + -248x + -360x2) = 0

Solving
32 + -248x + -360x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + -31x + -45x2) = 0

Factor a trinomial.
8((1 + -9x)(4 + 5x)) = 0

Ignore the factor 8.

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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0.1111111111, -0.8}

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