(1250q-8q^2)-(125q+6q^2)=0

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Solution for (1250q-8q^2)-(125q+6q^2)=0 equation: 


Simplifying
(1250q + -8q2) + -1(125q + 6q2) = 0

Remove parenthesis around (1250q + -8q2)
1250q + -8q2 + -1(125q + 6q2) = 0
1250q + -8q2 + (125q * -1 + 6q2 * -1) = 0
1250q + -8q2 + (-125q + -6q2) = 0

Reorder the terms:
1250q + -125q + -8q2 + -6q2 = 0

Combine like terms: 1250q + -125q = 1125q
1125q + -8q2 + -6q2 = 0

Combine like terms: -8q2 + -6q2 = -14q2
1125q + -14q2 = 0

Solving
1125q + -14q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(1125 + -14q) = 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 '(1125 + -14q)' equal to zero and attempt to solve:

Simplifying
1125 + -14q = 0

Solving
1125 + -14q = 0

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

Add '-1125' to each side of the equation.
1125 + -1125 + -14q = 0 + -1125

Combine like terms: 1125 + -1125 = 0
0 + -14q = 0 + -1125
-14q = 0 + -1125

Combine like terms: 0 + -1125 = -1125
-14q = -1125

Divide each side by '-14'.
q = 80.35714286

Simplifying
q = 80.35714286
Solution
q = {0, 80.35714286}

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