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Simplifying (30w2) + w = 20 Reorder the terms: w + (30w2) = 20 Solving w + (30w2) = 20 Solving for variable 'w'. Reorder the terms: -20 + w + (30w2) = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + w + (30w2) = 0 Factor a trinomial. (-5 + -6w)(4 + -5w) = 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 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 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 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8Solution
w = {-0.8333333333, 0.8}
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