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Simplifying w(w + -10) = 6375 Reorder the terms: w(-10 + w) = 6375 (-10 * w + w * w) = 6375 (-10w + w2) = 6375 Solving -10w + w2 = 6375 Solving for variable 'w'. Reorder the terms: -6375 + -10w + w2 = 6375 + -6375 Combine like terms: 6375 + -6375 = 0 -6375 + -10w + w2 = 0 Factor a trinomial. (-75 + -1w)(85 + -1w) = 0Subproblem 1
Set the factor '(-75 + -1w)' equal to zero and attempt to solve: Simplifying -75 + -1w = 0 Solving -75 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -1w = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -1w = 0 + 75 -1w = 0 + 75 Combine like terms: 0 + 75 = 75 -1w = 75 Divide each side by '-1'. w = -75 Simplifying w = -75Subproblem 2
Set the factor '(85 + -1w)' equal to zero and attempt to solve: Simplifying 85 + -1w = 0 Solving 85 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -1w = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -1w = 0 + -85 -1w = 0 + -85 Combine like terms: 0 + -85 = -85 -1w = -85 Divide each side by '-1'. w = 85 Simplifying w = 85Solution
w = {-75, 85}
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