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Simplifying 18 = 4w2 + w Reorder the terms: 18 = w + 4w2 Solving 18 = w + 4w2 Solving for variable 'w'. Reorder the terms: 18 + -1w + -4w2 = w + -1w + 4w2 + -4w2 Combine like terms: w + -1w = 0 18 + -1w + -4w2 = 0 + 4w2 + -4w2 18 + -1w + -4w2 = 4w2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 18 + -1w + -4w2 = 0 Factor a trinomial. (2 + -1w)(9 + 4w) = 0Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Subproblem 2
Set the factor '(9 + 4w)' equal to zero and attempt to solve: Simplifying 9 + 4w = 0 Solving 9 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4w = 0 + -9 4w = 0 + -9 Combine like terms: 0 + -9 = -9 4w = -9 Divide each side by '4'. w = -2.25 Simplifying w = -2.25Solution
w = {2, -2.25}
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