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Simplifying 16w2 + -22w + 7 = 0 Reorder the terms: 7 + -22w + 16w2 = 0 Solving 7 + -22w + 16w2 = 0 Solving for variable 'w'. Factor a trinomial. (1 + -2w)(7 + -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 '(7 + -8w)' equal to zero and attempt to solve: Simplifying 7 + -8w = 0 Solving 7 + -8w = 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 + -8w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8w = 0 + -7 -8w = 0 + -7 Combine like terms: 0 + -7 = -7 -8w = -7 Divide each side by '-8'. w = 0.875 Simplifying w = 0.875Solution
w = {0.5, 0.875}
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