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

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


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

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

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

Multiply (5 + x) * (7 + 8x)
(5(7 + 8x) + x(7 + 8x)) = 0
((7 * 5 + 8x * 5) + x(7 + 8x)) = 0
((35 + 40x) + x(7 + 8x)) = 0
(35 + 40x + (7 * x + 8x * x)) = 0
(35 + 40x + (7x + 8x2)) = 0

Combine like terms: 40x + 7x = 47x
(35 + 47x + 8x2) = 0

Solving
35 + 47x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(7 + 8x) = 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 '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {-5, -0.875}

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