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

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


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

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

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

Multiply (-9 + 5x) * (8 + 9x)
(-9(8 + 9x) + 5x * (8 + 9x)) = 0
((8 * -9 + 9x * -9) + 5x * (8 + 9x)) = 0
((-72 + -81x) + 5x * (8 + 9x)) = 0
(-72 + -81x + (8 * 5x + 9x * 5x)) = 0
(-72 + -81x + (40x + 45x2)) = 0

Combine like terms: -81x + 40x = -41x
(-72 + -41x + 45x2) = 0

Solving
-72 + -41x + 45x2 = 0

Solving for variable 'x'.

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


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 '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

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

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

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-0.8888888889, 1.8}

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