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Simplifying w4 + 13w2 = -36 Reorder the terms: 13w2 + w4 = -36 Solving 13w2 + w4 = -36 Solving for variable 'w'. Reorder the terms: 36 + 13w2 + w4 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 13w2 + w4 = 0 Factor a trinomial. (9 + w2)(4 + w2) = 0Subproblem 1
Set the factor '(9 + w2)' equal to zero and attempt to solve: Simplifying 9 + w2 = 0 Solving 9 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w2 = 0 + -9 w2 = 0 + -9 Combine like terms: 0 + -9 = -9 w2 = -9 Simplifying w2 = -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 + w2)' equal to zero and attempt to solve: Simplifying 4 + w2 = 0 Solving 4 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w2 = 0 + -4 w2 = 0 + -4 Combine like terms: 0 + -4 = -4 w2 = -4 Simplifying w2 = -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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