8q(3q+8)+q(5q+2)=

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Solution for 8q(3q+8)+q(5q+2)= equation: 


Simplifying
8q(3q + 8) + q(5q + 2) = 0

Reorder the terms:
8q(8 + 3q) + q(5q + 2) = 0
(8 * 8q + 3q * 8q) + q(5q + 2) = 0
(64q + 24q2) + q(5q + 2) = 0

Reorder the terms:
64q + 24q2 + q(2 + 5q) = 0
64q + 24q2 + (2 * q + 5q * q) = 0
64q + 24q2 + (2q + 5q2) = 0

Reorder the terms:
64q + 2q + 24q2 + 5q2 = 0

Combine like terms: 64q + 2q = 66q
66q + 24q2 + 5q2 = 0

Combine like terms: 24q2 + 5q2 = 29q2
66q + 29q2 = 0

Solving
66q + 29q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(66 + 29q) = 0


Subproblem 1
Set the factor 'q' equal to zero and attempt to solve:

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0

Subproblem 2
Set the factor '(66 + 29q)' equal to zero and attempt to solve:

Simplifying
66 + 29q = 0

Solving
66 + 29q = 0

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

Add '-66' to each side of the equation.
66 + -66 + 29q = 0 + -66

Combine like terms: 66 + -66 = 0
0 + 29q = 0 + -66
29q = 0 + -66

Combine like terms: 0 + -66 = -66
29q = -66

Divide each side by '29'.
q = -2.275862069

Simplifying
q = -2.275862069
Solution
q = {0, -2.275862069}

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