(8q+7)(q+8)=0

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Solution for (8q+7)(q+8)=0 equation: 


Simplifying
(8q + 7)(q + 8) = 0

Reorder the terms:
(7 + 8q)(q + 8) = 0

Reorder the terms:
(7 + 8q)(8 + q) = 0

Multiply (7 + 8q) * (8 + q)
(7(8 + q) + 8q * (8 + q)) = 0
((8 * 7 + q * 7) + 8q * (8 + q)) = 0
((56 + 7q) + 8q * (8 + q)) = 0
(56 + 7q + (8 * 8q + q * 8q)) = 0
(56 + 7q + (64q + 8q2)) = 0

Combine like terms: 7q + 64q = 71q
(56 + 71q + 8q2) = 0

Solving
56 + 71q + 8q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(8 + q)(7 + 8q) = 0


Subproblem 1
Set the factor '(8 + q)' equal to zero and attempt to solve:

Simplifying
8 + q = 0

Solving
8 + q = 0

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

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

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

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

Simplifying
q = -8

Subproblem 2
Set the factor '(7 + 8q)' equal to zero and attempt to solve:

Simplifying
7 + 8q = 0

Solving
7 + 8q = 0

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

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

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

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

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

Simplifying
q = -0.875
Solution
q = {-8, -0.875}

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