(5x+5)(x+8)=

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Solution for (5x+5)(x+8)= equation: 


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

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

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

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

Combine like terms: 5x + 40x = 45x
(40 + 45x + 5x2) = 0

Solving
40 + 45x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + 9x + x2) = 0

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

Ignore the factor 5.

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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-8, -1}

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