q^4+13q^2+36=0

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Solution for q^4+13q^2+36=0 equation:


Simplifying
q4 + 13q2 + 36 = 0

Reorder the terms:
36 + 13q2 + q4 = 0

Solving
36 + 13q2 + q4 = 0

Solving for variable 'q'.

Factor a trinomial.
(9 + q2)(4 + q2) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(4 + q2)' equal to zero and attempt to solve: Simplifying 4 + q2 = 0 Solving 4 + q2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + q2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + q2 = 0 + -4 q2 = 0 + -4 Combine like terms: 0 + -4 = -4 q2 = -4 Simplifying q2 = -4 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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