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Simplifying w2 + 10w = 375 Reorder the terms: 10w + w2 = 375 Solving 10w + w2 = 375 Solving for variable 'w'. Reorder the terms: -375 + 10w + w2 = 375 + -375 Combine like terms: 375 + -375 = 0 -375 + 10w + w2 = 0 Factor a trinomial. (-25 + -1w)(15 + -1w) = 0Subproblem 1
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 = -25Subproblem 2
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 = 15Solution
w = {-25, 15}
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