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Simplifying 4w2 = 21w + -20 Reorder the terms: 4w2 = -20 + 21w Solving 4w2 = -20 + 21w Solving for variable 'w'. Reorder the terms: 20 + -21w + 4w2 = -20 + 21w + 20 + -21w Reorder the terms: 20 + -21w + 4w2 = -20 + 20 + 21w + -21w Combine like terms: -20 + 20 = 0 20 + -21w + 4w2 = 0 + 21w + -21w 20 + -21w + 4w2 = 21w + -21w Combine like terms: 21w + -21w = 0 20 + -21w + 4w2 = 0 Factor a trinomial. (5 + -4w)(4 + -1w) = 0Subproblem 1
Set the factor '(5 + -4w)' equal to zero and attempt to solve: Simplifying 5 + -4w = 0 Solving 5 + -4w = 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 + -4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 0 + -5 -4w = 0 + -5 Combine like terms: 0 + -5 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25Subproblem 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 = {1.25, 4}
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