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Simplifying w(w + 30) = 8800 Reorder the terms: w(30 + w) = 8800 (30 * w + w * w) = 8800 (30w + w2) = 8800 Solving 30w + w2 = 8800 Solving for variable 'w'. Reorder the terms: -8800 + 30w + w2 = 8800 + -8800 Combine like terms: 8800 + -8800 = 0 -8800 + 30w + w2 = 0 Factor a trinomial. (-110 + -1w)(80 + -1w) = 0Subproblem 1
Set the factor '(-110 + -1w)' equal to zero and attempt to solve: Simplifying -110 + -1w = 0 Solving -110 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + -1w = 0 + 110 Combine like terms: -110 + 110 = 0 0 + -1w = 0 + 110 -1w = 0 + 110 Combine like terms: 0 + 110 = 110 -1w = 110 Divide each side by '-1'. w = -110 Simplifying w = -110Subproblem 2
Set the factor '(80 + -1w)' equal to zero and attempt to solve: Simplifying 80 + -1w = 0 Solving 80 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1w = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1w = 0 + -80 -1w = 0 + -80 Combine like terms: 0 + -80 = -80 -1w = -80 Divide each side by '-1'. w = 80 Simplifying w = 80Solution
w = {-110, 80}
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