-7(x+5)(x+8)=0

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Solution for -7(x+5)(x+8)=0 equation: 


Simplifying
-7(x + 5)(x + 8) = 0

Reorder the terms:
-7(5 + x)(x + 8) = 0

Reorder the terms:
-7(5 + x)(8 + x) = 0

Multiply (5 + x) * (8 + x)
-7(5(8 + x) + x(8 + x)) = 0
-7((8 * 5 + x * 5) + x(8 + x)) = 0
-7((40 + 5x) + x(8 + x)) = 0
-7(40 + 5x + (8 * x + x * x)) = 0
-7(40 + 5x + (8x + x2)) = 0

Combine like terms: 5x + 8x = 13x
-7(40 + 13x + x2) = 0
(40 * -7 + 13x * -7 + x2 * -7) = 0
(-280 + -91x + -7x2) = 0

Solving
-280 + -91x + -7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-7'.
-7(40 + 13x + x2) = 0

Factor a trinomial.
-7((8 + x)(5 + x)) = 0

Ignore the factor -7.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {-8, -5}

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