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Simplifying w3 + 22w2 + 121w = 0 Reorder the terms: 121w + 22w2 + w3 = 0 Solving 121w + 22w2 + w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(121 + 22w + w2) = 0 Factor a trinomial. w((11 + w)(11 + w)) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11Subproblem 3
Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11Solution
w = {0, -11, -11}
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