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Simplifying (70 + 5w)(96 + -2w) = 0 Multiply (70 + 5w) * (96 + -2w) (70(96 + -2w) + 5w * (96 + -2w)) = 0 ((96 * 70 + -2w * 70) + 5w * (96 + -2w)) = 0 ((6720 + -140w) + 5w * (96 + -2w)) = 0 (6720 + -140w + (96 * 5w + -2w * 5w)) = 0 (6720 + -140w + (480w + -10w2)) = 0 Combine like terms: -140w + 480w = 340w (6720 + 340w + -10w2) = 0 Solving 6720 + 340w + -10w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '10'. 10(672 + 34w + -1w2) = 0 Factor a trinomial. 10((48 + -1w)(14 + w)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(48 + -1w)' equal to zero and attempt to solve: Simplifying 48 + -1w = 0 Solving 48 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1w = 0 + -48 -1w = 0 + -48 Combine like terms: 0 + -48 = -48 -1w = -48 Divide each side by '-1'. w = 48 Simplifying w = 48Subproblem 2
Set the factor '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Solution
w = {48, -14}
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