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Simplifying w2 + 3w = 154 Reorder the terms: 3w + w2 = 154 Solving 3w + w2 = 154 Solving for variable 'w'. Reorder the terms: -154 + 3w + w2 = 154 + -154 Combine like terms: 154 + -154 = 0 -154 + 3w + w2 = 0 Factor a trinomial. (-14 + -1w)(11 + -1w) = 0Subproblem 1
Set the factor '(-14 + -1w)' equal to zero and attempt to solve: Simplifying -14 + -1w = 0 Solving -14 + -1w = 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 + -1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 0 + 14 -1w = 0 + 14 Combine like terms: 0 + 14 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14Subproblem 2
Set the factor '(11 + -1w)' equal to zero and attempt to solve: Simplifying 11 + -1w = 0 Solving 11 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1w = 0 + -11 -1w = 0 + -11 Combine like terms: 0 + -11 = -11 -1w = -11 Divide each side by '-1'. w = 11 Simplifying w = 11Solution
w = {-14, 11}
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