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Simplifying 23w + -1w2 + -126 = 0 Reorder the terms: -126 + 23w + -1w2 = 0 Solving -126 + 23w + -1w2 = 0 Solving for variable 'w'. Factor a trinomial. (-14 + w)(9 + -1w) = 0Subproblem 1
Set the factor '(-14 + w)' equal to zero and attempt to solve: Simplifying -14 + w = 0 Solving -14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + w = 0 + 14 w = 0 + 14 Combine like terms: 0 + 14 = 14 w = 14 Simplifying w = 14Subproblem 2
Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9Solution
w = {14, 9}
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