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Simplifying w(w + 3) = 180 Reorder the terms: w(3 + w) = 180 (3 * w + w * w) = 180 (3w + w2) = 180 Solving 3w + w2 = 180 Solving for variable 'w'. Reorder the terms: -180 + 3w + w2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 3w + w2 = 0 Factor a trinomial. (-15 + -1w)(12 + -1w) = 0Subproblem 1
Set the factor '(-15 + -1w)' equal to zero and attempt to solve: Simplifying -15 + -1w = 0 Solving -15 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1w = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1w = 0 + 15 -1w = 0 + 15 Combine like terms: 0 + 15 = 15 -1w = 15 Divide each side by '-1'. w = -15 Simplifying w = -15Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {-15, 12}
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