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Simplifying 6w2 + -19w + -20 = 0 Reorder the terms: -20 + -19w + 6w2 = 0 Solving -20 + -19w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -6w)(4 + -1w) = 0Subproblem 1
Set the factor '(-5 + -6w)' equal to zero and attempt to solve: Simplifying -5 + -6w = 0 Solving -5 + -6w = 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 + -6w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6w = 0 + 5 -6w = 0 + 5 Combine like terms: 0 + 5 = 5 -6w = 5 Divide each side by '-6'. w = -0.8333333333 Simplifying w = -0.8333333333Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Solution
w = {-0.8333333333, 4}
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