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Simplifying 60w = -18 + -50w2 Solving 60w = -18 + -50w2 Solving for variable 'w'. Reorder the terms: 18 + 60w + 50w2 = -18 + -50w2 + 18 + 50w2 Reorder the terms: 18 + 60w + 50w2 = -18 + 18 + -50w2 + 50w2 Combine like terms: -18 + 18 = 0 18 + 60w + 50w2 = 0 + -50w2 + 50w2 18 + 60w + 50w2 = -50w2 + 50w2 Combine like terms: -50w2 + 50w2 = 0 18 + 60w + 50w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 30w + 25w2) = 0 Factor a trinomial. 2((3 + 5w)(3 + 5w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 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 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6Subproblem 2
Set the factor '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 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 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6Solution
w = {-0.6, -0.6}
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