9(8-x)(x+4)=0

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


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

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

Multiply (8 + -1x) * (4 + x)
9(8(4 + x) + -1x * (4 + x)) = 0
9((4 * 8 + x * 8) + -1x * (4 + x)) = 0
9((32 + 8x) + -1x * (4 + x)) = 0
9(32 + 8x + (4 * -1x + x * -1x)) = 0
9(32 + 8x + (-4x + -1x2)) = 0

Combine like terms: 8x + -4x = 4x
9(32 + 4x + -1x2) = 0
(32 * 9 + 4x * 9 + -1x2 * 9) = 0
(288 + 36x + -9x2) = 0

Solving
288 + 36x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(32 + 4x + -1x2) = 0

Factor a trinomial.
9((8 + -1x)(4 + x)) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {8, -4}

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