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

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


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

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

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

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

Combine like terms: 9x + -8x = 1x
5(-72 + 1x + x2) = 0
(-72 * 5 + 1x * 5 + x2 * 5) = 0
(-360 + 5x + 5x2) = 0

Solving
-360 + 5x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-72 + x + x2) = 0

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

Ignore the factor 5.

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

Simplifying
-9 + -1x = 0

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

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

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

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-9, 8}

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