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Simplifying 4W2 + -32W + 28 = 0 Reorder the terms: 28 + -32W + 4W2 = 0 Solving 28 + -32W + 4W2 = 0 Solving for variable 'W'. Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -8W + W2) = 0 Factor a trinomial. 4((1 + -1W)(7 + -1W)) = 0 Ignore the factor 4.Subproblem 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 '(7 + -1W)' equal to zero and attempt to solve: Simplifying 7 + -1W = 0 Solving 7 + -1W = 0 Move all terms containing W to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1W = 0 + -7 -1W = 0 + -7 Combine like terms: 0 + -7 = -7 -1W = -7 Divide each side by '-1'. W = 7 Simplifying W = 7Solution
W = {1, 7}
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