8q^5-4q^3+7q=0

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Solution for 8q^5-4q^3+7q=0 equation: 


Simplifying
8q5 + -4q3 + 7q = 0

Reorder the terms:
7q + -4q3 + 8q5 = 0

Solving
7q + -4q3 + 8q5 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(7 + -4q2 + 8q4) = 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 '(7 + -4q2 + 8q4)' equal to zero and attempt to solve:

Simplifying
7 + -4q2 + 8q4 = 0

Solving
7 + -4q2 + 8q4 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.875 + -0.5q2 + q4 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -0.5q2 + -0.875 + q4 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -0.5q2 + q4 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -0.5q2 + q4 = 0 + -0.875
-0.5q2 + q4 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-0.5q2 + q4 = -0.875

The q term is -0.5q2.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5q2 + 0.0625 + q4 = -0.875 + 0.0625

Reorder the terms:
0.0625 + -0.5q2 + q4 = -0.875 + 0.0625

Combine like terms: -0.875 + 0.0625 = -0.8125
0.0625 + -0.5q2 + q4 = -0.8125

Factor a perfect square on the left side:
(q2 + -0.25)(q2 + -0.25) = -0.8125

Can't calculate square root of the right side.

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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