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Simplifying -1w(2w + 7) = 0 Reorder the terms: -1w(7 + 2w) = 0 (7 * -1w + 2w * -1w) = 0 (-7w + -2w2) = 0 Solving -7w + -2w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '-1w'. -1w(7 + 2w) = 0 Ignore the factor -1.Subproblem 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 + 2w)' equal to zero and attempt to solve: Simplifying 7 + 2w = 0 Solving 7 + 2w = 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 + 2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 0 + -7 2w = 0 + -7 Combine like terms: 0 + -7 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5Solution
w = {0, -3.5}
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