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Simplifying w(5w + -9) + 7w + 11w * 3w = 0 Reorder the terms: w(-9 + 5w) + 7w + 11w * 3w = 0 (-9 * w + 5w * w) + 7w + 11w * 3w = 0 (-9w + 5w2) + 7w + 11w * 3w = 0 Reorder the terms for easier multiplication: -9w + 5w2 + 7w + 11 * 3w * w = 0 Multiply 11 * 3 -9w + 5w2 + 7w + 33w * w = 0 Multiply w * w -9w + 5w2 + 7w + 33w2 = 0 Reorder the terms: -9w + 7w + 5w2 + 33w2 = 0 Combine like terms: -9w + 7w = -2w -2w + 5w2 + 33w2 = 0 Combine like terms: 5w2 + 33w2 = 38w2 -2w + 38w2 = 0 Solving -2w + 38w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-1 + 19w) = 0 Ignore the factor 2.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 '(-1 + 19w)' equal to zero and attempt to solve: Simplifying -1 + 19w = 0 Solving -1 + 19w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 19w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 19w = 0 + 1 19w = 0 + 1 Combine like terms: 0 + 1 = 1 19w = 1 Divide each side by '19'. w = 0.05263157895 Simplifying w = 0.05263157895Solution
w = {0, 0.05263157895}
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