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Simplifying w(w + 7) = 744 Reorder the terms: w(7 + w) = 744 (7 * w + w * w) = 744 (7w + w2) = 744 Solving 7w + w2 = 744 Solving for variable 'w'. Reorder the terms: -744 + 7w + w2 = 744 + -744 Combine like terms: 744 + -744 = 0 -744 + 7w + w2 = 0 Factor a trinomial. (-31 + -1w)(24 + -1w) = 0Subproblem 1
Set the factor '(-31 + -1w)' equal to zero and attempt to solve: Simplifying -31 + -1w = 0 Solving -31 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -1w = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -1w = 0 + 31 -1w = 0 + 31 Combine like terms: 0 + 31 = 31 -1w = 31 Divide each side by '-1'. w = -31 Simplifying w = -31Subproblem 2
Set the factor '(24 + -1w)' equal to zero and attempt to solve: Simplifying 24 + -1w = 0 Solving 24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1w = 0 + -24 -1w = 0 + -24 Combine like terms: 0 + -24 = -24 -1w = -24 Divide each side by '-1'. w = 24 Simplifying w = 24Solution
w = {-31, 24}
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