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Simplifying 10w2 + 13w + -77 = 0 Reorder the terms: -77 + 13w + 10w2 = 0 Solving -77 + 13w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -2w)(11 + -5w) = 0Subproblem 1
Set the factor '(-7 + -2w)' equal to zero and attempt to solve: Simplifying -7 + -2w = 0 Solving -7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 0 + 7 -2w = 0 + 7 Combine like terms: 0 + 7 = 7 -2w = 7 Divide each side by '-2'. w = -3.5 Simplifying w = -3.5Subproblem 2
Set the factor '(11 + -5w)' equal to zero and attempt to solve: Simplifying 11 + -5w = 0 Solving 11 + -5w = 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 + -5w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5w = 0 + -11 -5w = 0 + -11 Combine like terms: 0 + -11 = -11 -5w = -11 Divide each side by '-5'. w = 2.2 Simplifying w = 2.2Solution
w = {-3.5, 2.2}
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