q^4+45q^2+324=0

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Solution for q^4+45q^2+324=0 equation:


Simplifying
q4 + 45q2 + 324 = 0

Reorder the terms:
324 + 45q2 + q4 = 0

Solving
324 + 45q2 + q4 = 0

Solving for variable 'q'.

Factor a trinomial.
(36 + q2)(9 + q2) = 0

Subproblem 1

Set the factor '(36 + q2)' equal to zero and attempt to solve: Simplifying 36 + q2 = 0 Solving 36 + q2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + q2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + q2 = 0 + -36 q2 = 0 + -36 Combine like terms: 0 + -36 = -36 q2 = -36 Simplifying q2 = -36 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 '(9 + q2)' equal to zero and attempt to solve: Simplifying 9 + q2 = 0 Solving 9 + q2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + q2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + q2 = 0 + -9 q2 = 0 + -9 Combine like terms: 0 + -9 = -9 q2 = -9 Simplifying q2 = -9 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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