(q^3+2r^2)(q^3+2r^2)=

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Solution for (q^3+2r^2)(q^3+2r^2)= equation: 


Simplifying
(q3 + 2r2)(q3 + 2r2) = 0

Multiply (q3 + 2r2) * (q3 + 2r2)
(q3(q3 + 2r2) + 2r2 * (q3 + 2r2)) = 0
((q3 * q3 + 2r2 * q3) + 2r2 * (q3 + 2r2)) = 0

Reorder the terms:
((2q3r2 + q6) + 2r2 * (q3 + 2r2)) = 0
((2q3r2 + q6) + 2r2 * (q3 + 2r2)) = 0
(2q3r2 + q6 + (q3 * 2r2 + 2r2 * 2r2)) = 0
(2q3r2 + q6 + (2q3r2 + 4r4)) = 0

Reorder the terms:
(2q3r2 + 2q3r2 + q6 + 4r4) = 0

Combine like terms: 2q3r2 + 2q3r2 = 4q3r2
(4q3r2 + q6 + 4r4) = 0

Solving
4q3r2 + q6 + 4r4 = 0

Solving for variable 'q'.

Factor a trinomial.
(q3 + 2r2)(q3 + 2r2) = 0


Subproblem 1
Set the factor '(q3 + 2r2)' equal to zero and attempt to solve:

Simplifying
q3 + 2r2 = 0

Solving
q3 + 2r2 = 0

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

Add '-2r2' to each side of the equation.
q3 + 2r2 + -2r2 = 0 + -2r2

Combine like terms: 2r2 + -2r2 = 0
q3 + 0 = 0 + -2r2
q3 = 0 + -2r2
Remove the zero:
q3 = -2r2

Simplifying
q3 = -2r2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(q3 + 2r2)' equal to zero and attempt to solve:

Simplifying
q3 + 2r2 = 0

Solving
q3 + 2r2 = 0

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

Add '-2r2' to each side of the equation.
q3 + 2r2 + -2r2 = 0 + -2r2

Combine like terms: 2r2 + -2r2 = 0
q3 + 0 = 0 + -2r2
q3 = 0 + -2r2
Remove the zero:
q3 = -2r2

Simplifying
q3 = -2r2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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