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Simplifying 16w2 + -18w + 5 = 0 Reorder the terms: 5 + -18w + 16w2 = 0 Solving 5 + -18w + 16w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -2w)(5 + -8w) = 0Subproblem 1
Set the factor '(1 + -2w)' equal to zero and attempt to solve: Simplifying 1 + -2w = 0 Solving 1 + -2w = 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 + -2w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2w = 0 + -1 -2w = 0 + -1 Combine like terms: 0 + -1 = -1 -2w = -1 Divide each side by '-2'. w = 0.5 Simplifying w = 0.5Subproblem 2
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 = 0.625Solution
w = {0.5, 0.625}
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