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Simplifying 0 = w2 + 4w + -320 Reorder the terms: 0 = -320 + 4w + w2 Solving 0 = -320 + 4w + w2 Solving for variable 'w'. Combine like terms: 0 + 320 = 320 320 + -4w + -1w2 = -320 + 4w + w2 + 320 + -4w + -1w2 Reorder the terms: 320 + -4w + -1w2 = -320 + 320 + 4w + -4w + w2 + -1w2 Combine like terms: -320 + 320 = 0 320 + -4w + -1w2 = 0 + 4w + -4w + w2 + -1w2 320 + -4w + -1w2 = 4w + -4w + w2 + -1w2 Combine like terms: 4w + -4w = 0 320 + -4w + -1w2 = 0 + w2 + -1w2 320 + -4w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 320 + -4w + -1w2 = 0 Factor a trinomial. (16 + -1w)(20 + w) = 0Subproblem 1
Set the factor '(16 + -1w)' equal to zero and attempt to solve: Simplifying 16 + -1w = 0 Solving 16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 0 + -16 -1w = 0 + -16 Combine like terms: 0 + -16 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16Subproblem 2
Set the factor '(20 + w)' equal to zero and attempt to solve: Simplifying 20 + w = 0 Solving 20 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + w = 0 + -20 w = 0 + -20 Combine like terms: 0 + -20 = -20 w = -20 Simplifying w = -20Solution
w = {16, -20}
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