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Simplifying w5 + 24w4 = -144w3 Reorder the terms: 24w4 + w5 = -144w3 Solving 24w4 + w5 = -144w3 Solving for variable 'w'. Reorder the terms: 144w3 + 24w4 + w5 = -144w3 + 144w3 Combine like terms: -144w3 + 144w3 = 0 144w3 + 24w4 + w5 = 0 Factor out the Greatest Common Factor (GCF), 'w3'. w3(144 + 24w + w2) = 0 Factor a trinomial. w3((12 + w)(12 + w)) = 0Subproblem 1
Set the factor 'w3' equal to zero and attempt to solve: Simplifying w3 = 0 Solving w3 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w3 = 0 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 '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 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 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Subproblem 3
Set the factor '(12 + w)' equal to zero and attempt to solve: Simplifying 12 + w = 0 Solving 12 + w = 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 + w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + w = 0 + -12 w = 0 + -12 Combine like terms: 0 + -12 = -12 w = -12 Simplifying w = -12Solution
w = {-12, -12}
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