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Simplifying 56w2 + -61w = 22 Reorder the terms: -61w + 56w2 = 22 Solving -61w + 56w2 = 22 Solving for variable 'w'. Reorder the terms: -22 + -61w + 56w2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + -61w + 56w2 = 0 Factor a trinomial. (-2 + -7w)(11 + -8w) = 0Subproblem 1
Set the factor '(-2 + -7w)' equal to zero and attempt to solve: Simplifying -2 + -7w = 0 Solving -2 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7w = 0 + 2 -7w = 0 + 2 Combine like terms: 0 + 2 = 2 -7w = 2 Divide each side by '-7'. w = -0.2857142857 Simplifying w = -0.2857142857Subproblem 2
Set the factor '(11 + -8w)' equal to zero and attempt to solve: Simplifying 11 + -8w = 0 Solving 11 + -8w = 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 + -8w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8w = 0 + -11 -8w = 0 + -11 Combine like terms: 0 + -11 = -11 -8w = -11 Divide each side by '-8'. w = 1.375 Simplifying w = 1.375Solution
w = {-0.2857142857, 1.375}
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