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Simplifying w2 + -47w + 312 = 0 Reorder the terms: 312 + -47w + w2 = 0 Solving 312 + -47w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + -1w)(39 + -1w) = 0Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 2
Set the factor '(39 + -1w)' equal to zero and attempt to solve: Simplifying 39 + -1w = 0 Solving 39 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1w = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1w = 0 + -39 -1w = 0 + -39 Combine like terms: 0 + -39 = -39 -1w = -39 Divide each side by '-1'. w = 39 Simplifying w = 39Solution
w = {8, 39}
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