(q^6-3r)(q^6-3r)=

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Solution for (q^6-3r)(q^6-3r)= equation: 


Simplifying
(q6 + -3r)(q6 + -3r) = 0

Multiply (q6 + -3r) * (q6 + -3r)
(q6(q6 + -3r) + -3r * (q6 + -3r)) = 0
((q6 * q6 + -3r * q6) + -3r * (q6 + -3r)) = 0

Reorder the terms:
((-3q6r + q12) + -3r * (q6 + -3r)) = 0
((-3q6r + q12) + -3r * (q6 + -3r)) = 0
(-3q6r + q12 + (q6 * -3r + -3r * -3r)) = 0
(-3q6r + q12 + (-3q6r + 9r2)) = 0

Reorder the terms:
(-3q6r + -3q6r + q12 + 9r2) = 0

Combine like terms: -3q6r + -3q6r = -6q6r
(-6q6r + q12 + 9r2) = 0

Solving
-6q6r + q12 + 9r2 = 0

Solving for variable 'q'.

Factor a trinomial.
(q6 + -3r)(q6 + -3r) = 0


Subproblem 1
Set the factor '(q6 + -3r)' equal to zero and attempt to solve:

Simplifying
q6 + -3r = 0

Solving
q6 + -3r = 0

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

Add '3r' to each side of the equation.
q6 + -3r + 3r = 0 + 3r

Combine like terms: -3r + 3r = 0
q6 + 0 = 0 + 3r
q6 = 0 + 3r
Remove the zero:
q6 = 3r

Simplifying
q6 = 3r

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 '(q6 + -3r)' equal to zero and attempt to solve:

Simplifying
q6 + -3r = 0

Solving
q6 + -3r = 0

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

Add '3r' to each side of the equation.
q6 + -3r + 3r = 0 + 3r

Combine like terms: -3r + 3r = 0
q6 + 0 = 0 + 3r
q6 = 0 + 3r
Remove the zero:
q6 = 3r

Simplifying
q6 = 3r

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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