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Simplifying 69w = -81w2 Solving 69w = -81w2 Solving for variable 'w'. Combine like terms: -81w2 + 81w2 = 0 69w + 81w2 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(23 + 27w) = 0 Ignore the factor 3.Subproblem 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 '(23 + 27w)' equal to zero and attempt to solve: Simplifying 23 + 27w = 0 Solving 23 + 27w = 0 Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 27w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 27w = 0 + -23 27w = 0 + -23 Combine like terms: 0 + -23 = -23 27w = -23 Divide each side by '27'. w = -0.8518518519 Simplifying w = -0.8518518519Solution
w = {0, -0.8518518519}
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