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Simplifying -6w2 + 11w + -4 = 0 Reorder the terms: -4 + 11w + -6w2 = 0 Solving -4 + 11w + -6w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + 3w)(1 + -2w) = 0Subproblem 1
Set the factor '(-4 + 3w)' equal to zero and attempt to solve: Simplifying -4 + 3w = 0 Solving -4 + 3w = 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 + 3w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3w = 0 + 4 3w = 0 + 4 Combine like terms: 0 + 4 = 4 3w = 4 Divide each side by '3'. w = 1.333333333 Simplifying w = 1.333333333Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Solution
w = {1.333333333, 0.5}
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