(-7q^5-8q^4+6q^3-6q^2)-(-6q^4+2q^3-2q^2)=

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Solution for (-7q^5-8q^4+6q^3-6q^2)-(-6q^4+2q^3-2q^2)= equation: 


Simplifying
(-7q5 + -8q4 + 6q3 + -6q2) + -1(-6q4 + 2q3 + -2q2) = 0

Reorder the terms:
(-6q2 + 6q3 + -8q4 + -7q5) + -1(-6q4 + 2q3 + -2q2) = 0

Remove parenthesis around (-6q2 + 6q3 + -8q4 + -7q5)
-6q2 + 6q3 + -8q4 + -7q5 + -1(-6q4 + 2q3 + -2q2) = 0

Reorder the terms:
-6q2 + 6q3 + -8q4 + -7q5 + -1(-2q2 + 2q3 + -6q4) = 0
-6q2 + 6q3 + -8q4 + -7q5 + (-2q2 * -1 + 2q3 * -1 + -6q4 * -1) = 0
-6q2 + 6q3 + -8q4 + -7q5 + (2q2 + -2q3 + 6q4) = 0

Reorder the terms:
-6q2 + 2q2 + 6q3 + -2q3 + -8q4 + 6q4 + -7q5 = 0

Combine like terms: -6q2 + 2q2 = -4q2
-4q2 + 6q3 + -2q3 + -8q4 + 6q4 + -7q5 = 0

Combine like terms: 6q3 + -2q3 = 4q3
-4q2 + 4q3 + -8q4 + 6q4 + -7q5 = 0

Combine like terms: -8q4 + 6q4 = -2q4
-4q2 + 4q3 + -2q4 + -7q5 = 0

Solving
-4q2 + 4q3 + -2q4 + -7q5 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q2'.
q2(-4 + 4q + -2q2 + -7q3) = 0


Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve:

Simplifying
q2 = 0

Solving
q2 = 0

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

Simplifying
q2 = 0

Take the square root of each side:
q = {0}

Subproblem 2
Set the factor '(-4 + 4q + -2q2 + -7q3)' equal to zero and attempt to solve:

Simplifying
-4 + 4q + -2q2 + -7q3 = 0

Solving
-4 + 4q + -2q2 + -7q3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
q = {0}

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