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Simplifying 5w2 + -39w + 28 = 0 Reorder the terms: 28 + -39w + 5w2 = 0 Solving 28 + -39w + 5w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -5w)(7 + -1w) = 0Subproblem 1
Set the factor '(4 + -5w)' equal to zero and attempt to solve: Simplifying 4 + -5w = 0 Solving 4 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5w = 0 + -4 -5w = 0 + -4 Combine like terms: 0 + -4 = -4 -5w = -4 Divide each side by '-5'. w = 0.8 Simplifying w = 0.8Subproblem 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 = {0.8, 7}
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