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Simplifying w2 + 20w + -224 = 0 Reorder the terms: -224 + 20w + w2 = 0 Solving -224 + 20w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-28 + -1w)(8 + -1w) = 0Subproblem 1
Set the factor '(-28 + -1w)' equal to zero and attempt to solve: Simplifying -28 + -1w = 0 Solving -28 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1w = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1w = 0 + 28 -1w = 0 + 28 Combine like terms: 0 + 28 = 28 -1w = 28 Divide each side by '-1'. w = -28 Simplifying w = -28Subproblem 2
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Solution
w = {-28, 8}
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