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Simplifying 8w2 + -13w + 5 = 0 Reorder the terms: 5 + -13w + 8w2 = 0 Solving 5 + -13w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -8w)(1 + -1w) = 0Subproblem 1
Set the factor '(5 + -8w)' equal to zero and attempt to solve: Simplifying 5 + -8w = 0 Solving 5 + -8w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8w = 0 + -5 -8w = 0 + -5 Combine like terms: 0 + -5 = -5 -8w = -5 Divide each side by '-8'. w = 0.625 Simplifying w = 0.625Subproblem 2
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 = 1Solution
w = {0.625, 1}
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