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Simplifying 2w2 + 15w2 + 7w = 0 Reorder the terms: 7w + 2w2 + 15w2 = 0 Combine like terms: 2w2 + 15w2 = 17w2 7w + 17w2 = 0 Solving 7w + 17w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(7 + 17w) = 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 '(7 + 17w)' equal to zero and attempt to solve: Simplifying 7 + 17w = 0 Solving 7 + 17w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 17w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 17w = 0 + -7 17w = 0 + -7 Combine like terms: 0 + -7 = -7 17w = -7 Divide each side by '17'. w = -0.4117647059 Simplifying w = -0.4117647059Solution
w = {0, -0.4117647059}
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