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Simplifying W2 + -10W + 25 = 16 Reorder the terms: 25 + -10W + W2 = 16 Solving 25 + -10W + W2 = 16 Solving for variable 'W'. Reorder the terms: 25 + -16 + -10W + W2 = 16 + -16 Combine like terms: 25 + -16 = 9 9 + -10W + W2 = 16 + -16 Combine like terms: 16 + -16 = 0 9 + -10W + W2 = 0 Factor a trinomial. (1 + -1W)(9 + -1W) = 0Subproblem 1
Set the factor '(1 + -1W)' equal to zero and attempt to solve: Simplifying 1 + -1W = 0 Solving 1 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1W = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1W = 0 + -1 -1W = 0 + -1 Combine like terms: 0 + -1 = -1 -1W = -1 Divide each side by '-1'. W = 1 Simplifying W = 1Subproblem 2
Set the factor '(9 + -1W)' equal to zero and attempt to solve: Simplifying 9 + -1W = 0 Solving 9 + -1W = 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 + -1W = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1W = 0 + -9 -1W = 0 + -9 Combine like terms: 0 + -9 = -9 -1W = -9 Divide each side by '-1'. W = 9 Simplifying W = 9Solution
W = {1, 9}
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