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Simplifying q4 + 61q2 + 900 = 0 Reorder the terms: 900 + 61q2 + q4 = 0 Solving 900 + 61q2 + q4 = 0 Solving for variable 'q'. Factor a trinomial. (36 + q2)(25 + q2) = 0Subproblem 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 '(25 + q2)' equal to zero and attempt to solve: Simplifying 25 + q2 = 0 Solving 25 + q2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + q2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + q2 = 0 + -25 q2 = 0 + -25 Combine like terms: 0 + -25 = -25 q2 = -25 Simplifying q2 = -25 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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