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Simplifying 3w2 + 10w + -77 = 0 Reorder the terms: -77 + 10w + 3w2 = 0 Solving -77 + 10w + 3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -1w)(11 + -3w) = 0Subproblem 1
Set the factor '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 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 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Divide each side by '-1'. w = -7 Simplifying w = -7Subproblem 2
Set the factor '(11 + -3w)' equal to zero and attempt to solve: Simplifying 11 + -3w = 0 Solving 11 + -3w = 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 + -3w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3w = 0 + -11 -3w = 0 + -11 Combine like terms: 0 + -11 = -11 -3w = -11 Divide each side by '-3'. w = 3.666666667 Simplifying w = 3.666666667Solution
w = {-7, 3.666666667}
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