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Simplifying w2 + -100w + 2304 = 0 Reorder the terms: 2304 + -100w + w2 = 0 Solving 2304 + -100w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (36 + -1w)(64 + -1w) = 0Subproblem 1
Set the factor '(36 + -1w)' equal to zero and attempt to solve: Simplifying 36 + -1w = 0 Solving 36 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1w = 0 + -36 -1w = 0 + -36 Combine like terms: 0 + -36 = -36 -1w = -36 Divide each side by '-1'. w = 36 Simplifying w = 36Subproblem 2
Set the factor '(64 + -1w)' equal to zero and attempt to solve: Simplifying 64 + -1w = 0 Solving 64 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -1w = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1w = 0 + -64 -1w = 0 + -64 Combine like terms: 0 + -64 = -64 -1w = -64 Divide each side by '-1'. w = 64 Simplifying w = 64Solution
w = {36, 64}
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