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

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


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

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

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

Multiply (8 + 5x) * (5 + x)
(8(5 + x) + 5x * (5 + x)) = 0
((5 * 8 + x * 8) + 5x * (5 + x)) = 0
((40 + 8x) + 5x * (5 + x)) = 0
(40 + 8x + (5 * 5x + x * 5x)) = 0
(40 + 8x + (25x + 5x2)) = 0

Combine like terms: 8x + 25x = 33x
(40 + 33x + 5x2) = 0

Solving
40 + 33x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 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 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {-5, -1.6}

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