9(x+8)(x-2)=0

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Solution for 9(x+8)(x-2)=0 equation: 


Simplifying
9(x + 8)(x + -2) = 0

Reorder the terms:
9(8 + x)(x + -2) = 0

Reorder the terms:
9(8 + x)(-2 + x) = 0

Multiply (8 + x) * (-2 + x)
9(8(-2 + x) + x(-2 + x)) = 0
9((-2 * 8 + x * 8) + x(-2 + x)) = 0
9((-16 + 8x) + x(-2 + x)) = 0
9(-16 + 8x + (-2 * x + x * x)) = 0
9(-16 + 8x + (-2x + x2)) = 0

Combine like terms: 8x + -2x = 6x
9(-16 + 6x + x2) = 0
(-16 * 9 + 6x * 9 + x2 * 9) = 0
(-144 + 54x + 9x2) = 0

Solving
-144 + 54x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-16 + 6x + x2) = 0

Factor a trinomial.
9((-8 + -1x)(2 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
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

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 = {-8, 2}

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