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Simplifying 55 = w2 + 6w Reorder the terms: 55 = 6w + w2 Solving 55 = 6w + w2 Solving for variable 'w'. Reorder the terms: 55 + -6w + -1w2 = 6w + -6w + w2 + -1w2 Combine like terms: 6w + -6w = 0 55 + -6w + -1w2 = 0 + w2 + -1w2 55 + -6w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 55 + -6w + -1w2 = 0 Factor a trinomial. (5 + -1w)(11 + w) = 0Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve: Simplifying 5 + -1w = 0 Solving 5 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 0 + -5 -1w = 0 + -5 Combine like terms: 0 + -5 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5Subproblem 2
Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 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 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11Solution
w = {5, -11}
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