7(4-x)(x+8)=0

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Solution for 7(4-x)(x+8)=0 equation: 


Simplifying
7(4 + -1x)(x + 8) = 0

Reorder the terms:
7(4 + -1x)(8 + x) = 0

Multiply (4 + -1x) * (8 + x)
7(4(8 + x) + -1x * (8 + x)) = 0
7((8 * 4 + x * 4) + -1x * (8 + x)) = 0
7((32 + 4x) + -1x * (8 + x)) = 0
7(32 + 4x + (8 * -1x + x * -1x)) = 0
7(32 + 4x + (-8x + -1x2)) = 0

Combine like terms: 4x + -8x = -4x
7(32 + -4x + -1x2) = 0
(32 * 7 + -4x * 7 + -1x2 * 7) = 0
(224 + -28x + -7x2) = 0

Solving
224 + -28x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(32 + -4x + -1x2) = 0

Factor a trinomial.
7((4 + -1x)(8 + x)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
8 + x = 0

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

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

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

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

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