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Simplifying (-5w + -3) * w2 = 0 Reorder the terms: (-3 + -5w) * w2 = 0 Reorder the terms for easier multiplication: w2(-3 + -5w) = 0 (-3 * w2 + -5w * w2) = 0 (-3w2 + -5w3) = 0 Solving -3w2 + -5w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-1w2'. -1w2(3 + 5w) = 0 Ignore the factor -1.Subproblem 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 '(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, -0.6}
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