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Simplifying (130 + w)(500 + w) = 0 Multiply (130 + w) * (500 + w) (130(500 + w) + w(500 + w)) = 0 ((500 * 130 + w * 130) + w(500 + w)) = 0 ((65000 + 130w) + w(500 + w)) = 0 (65000 + 130w + (500 * w + w * w)) = 0 (65000 + 130w + (500w + w2)) = 0 Combine like terms: 130w + 500w = 630w (65000 + 630w + w2) = 0 Solving 65000 + 630w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (500 + w)(130 + w) = 0Subproblem 1
Set the factor '(500 + w)' equal to zero and attempt to solve: Simplifying 500 + w = 0 Solving 500 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + w = 0 + -500 Combine like terms: 500 + -500 = 0 0 + w = 0 + -500 w = 0 + -500 Combine like terms: 0 + -500 = -500 w = -500 Simplifying w = -500Subproblem 2
Set the factor '(130 + w)' equal to zero and attempt to solve: Simplifying 130 + w = 0 Solving 130 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + w = 0 + -130 Combine like terms: 130 + -130 = 0 0 + w = 0 + -130 w = 0 + -130 Combine like terms: 0 + -130 = -130 w = -130 Simplifying w = -130Solution
w = {-500, -130}
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