(9x-5)(7x+8)=0

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Solution for (9x-5)(7x+8)=0 equation: 


Simplifying
(9x + -5)(7x + 8) = 0

Reorder the terms:
(-5 + 9x)(7x + 8) = 0

Reorder the terms:
(-5 + 9x)(8 + 7x) = 0

Multiply (-5 + 9x) * (8 + 7x)
(-5(8 + 7x) + 9x * (8 + 7x)) = 0
((8 * -5 + 7x * -5) + 9x * (8 + 7x)) = 0
((-40 + -35x) + 9x * (8 + 7x)) = 0
(-40 + -35x + (8 * 9x + 7x * 9x)) = 0
(-40 + -35x + (72x + 63x2)) = 0

Combine like terms: -35x + 72x = 37x
(-40 + 37x + 63x2) = 0

Solving
-40 + 37x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(5 + -9x) = 0


Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 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 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556
Solution
x = {-1.142857143, 0.5555555556}

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