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Simplifying 9w = -49w3 + -42w2 Reorder the terms: 9w = -42w2 + -49w3 Solving 9w = -42w2 + -49w3 Solving for variable 'w'. Reorder the terms: 9w + 42w2 + 49w3 = -42w2 + 42w2 + -49w3 + 49w3 Combine like terms: -42w2 + 42w2 = 0 9w + 42w2 + 49w3 = 0 + -49w3 + 49w3 9w + 42w2 + 49w3 = -49w3 + 49w3 Combine like terms: -49w3 + 49w3 = 0 9w + 42w2 + 49w3 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(9 + 42w + 49w2) = 0 Factor a trinomial. w((3 + 7w)(3 + 7w)) = 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 '(3 + 7w)' equal to zero and attempt to solve: Simplifying 3 + 7w = 0 Solving 3 + 7w = 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 + 7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7w = 0 + -3 7w = 0 + -3 Combine like terms: 0 + -3 = -3 7w = -3 Divide each side by '7'. w = -0.4285714286 Simplifying w = -0.4285714286Subproblem 3
Set the factor '(3 + 7w)' equal to zero and attempt to solve: Simplifying 3 + 7w = 0 Solving 3 + 7w = 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 + 7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7w = 0 + -3 7w = 0 + -3 Combine like terms: 0 + -3 = -3 7w = -3 Divide each side by '7'. w = -0.4285714286 Simplifying w = -0.4285714286Solution
w = {0, -0.4285714286, -0.4285714286}
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