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Simplifying w2 + -9w = 252 Reorder the terms: -9w + w2 = 252 Solving -9w + w2 = 252 Solving for variable 'w'. Reorder the terms: -252 + -9w + w2 = 252 + -252 Combine like terms: 252 + -252 = 0 -252 + -9w + w2 = 0 Factor a trinomial. (-12 + -1w)(21 + -1w) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(21 + -1w)' equal to zero and attempt to solve: Simplifying 21 + -1w = 0 Solving 21 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1w = 0 + -21 -1w = 0 + -21 Combine like terms: 0 + -21 = -21 -1w = -21 Divide each side by '-1'. w = 21 Simplifying w = 21Solution
w = {-12, 21}
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