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Simplifying 7w3 + -12w2 = 0 Reorder the terms: -12w2 + 7w3 = 0 Solving -12w2 + 7w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w2'. w2(-12 + 7w) = 0Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve: Simplifying w2 = 0 Solving w2 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w2 = 0 Take the square root of each side: w = {0}Subproblem 2
Set the factor '(-12 + 7w)' equal to zero and attempt to solve: Simplifying -12 + 7w = 0 Solving -12 + 7w = 0 Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7w = 0 + 12 7w = 0 + 12 Combine like terms: 0 + 12 = 12 7w = 12 Divide each side by '7'. w = 1.714285714 Simplifying w = 1.714285714Solution
w = {0, 1.714285714}
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