q^5-q^2=

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Solution for q^5-q^2= equation: 


Simplifying
q5 + -1q2 = 0

Reorder the terms:
-1q2 + q5 = 0

Solving
-1q2 + q5 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q2'.
q2(-1 + q3) = 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 '(-1 + q3)' equal to zero and attempt to solve:

Simplifying
-1 + q3 = 0

Solving
-1 + q3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + q3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + q3 = 0 + 1
q3 = 0 + 1

Combine like terms: 0 + 1 = 1
q3 = 1

Simplifying
q3 = 1

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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