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Simplifying 8w2 + -2 + -15w = 0 Reorder the terms: -2 + -15w + 8w2 = 0 Solving -2 + -15w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (-1 + -8w)(2 + -1w) = 0Subproblem 1
Set the factor '(-1 + -8w)' equal to zero and attempt to solve: Simplifying -1 + -8w = 0 Solving -1 + -8w = 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 + -8w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8w = 0 + 1 -8w = 0 + 1 Combine like terms: 0 + 1 = 1 -8w = 1 Divide each side by '-8'. w = -0.125 Simplifying w = -0.125Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {-0.125, 2}
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