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Simplifying 3w2 + 26w + -77 = 0 Reorder the terms: -77 + 26w + 3w2 = 0 Solving -77 + 26w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-11 + -1w)(7 + -3w) = 0Subproblem 1
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 = -11Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve: Simplifying 7 + -3w = 0 Solving 7 + -3w = 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 + -3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 0 + -7 -3w = 0 + -7 Combine like terms: 0 + -7 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333Solution
w = {-11, 2.333333333}
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