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Simplifying w4 + 15w2 + 36 = 0 Reorder the terms: 36 + 15w2 + w4 = 0 Solving 36 + 15w2 + w4 = 0 Solving for variable 'w'. Factor a trinomial. (12 + w2)(3 + w2) = 0Subproblem 1
Set the factor '(12 + w2)' equal to zero and attempt to solve: Simplifying 12 + w2 = 0 Solving 12 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + w2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w2 = 0 + -12 w2 = 0 + -12 Combine like terms: 0 + -12 = -12 w2 = -12 Simplifying w2 = -12 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 '(3 + w2)' equal to zero and attempt to solve: Simplifying 3 + w2 = 0 Solving 3 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w2 = 0 + -3 w2 = 0 + -3 Combine like terms: 0 + -3 = -3 w2 = -3 Simplifying w2 = -3 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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