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Simplifying w(w + 20) = 1125 Reorder the terms: w(20 + w) = 1125 (20 * w + w * w) = 1125 (20w + w2) = 1125 Solving 20w + w2 = 1125 Solving for variable 'w'. Reorder the terms: -1125 + 20w + w2 = 1125 + -1125 Combine like terms: 1125 + -1125 = 0 -1125 + 20w + w2 = 0 Factor a trinomial. (-45 + -1w)(25 + -1w) = 0Subproblem 1
Set the factor '(-45 + -1w)' equal to zero and attempt to solve: Simplifying -45 + -1w = 0 Solving -45 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1w = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1w = 0 + 45 -1w = 0 + 45 Combine like terms: 0 + 45 = 45 -1w = 45 Divide each side by '-1'. w = -45 Simplifying w = -45Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25Solution
w = {-45, 25}
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