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Simplifying 10w2 + -19w + -15 = 0 Reorder the terms: -15 + -19w + 10w2 = 0 Solving -15 + -19w + 10w2 = 0 Solving for variable 'w'. Factor a trinomial. (-3 + -5w)(5 + -2w) = 0Subproblem 1
Set the factor '(-3 + -5w)' equal to zero and attempt to solve: Simplifying -3 + -5w = 0 Solving -3 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5w = 0 + 3 -5w = 0 + 3 Combine like terms: 0 + 3 = 3 -5w = 3 Divide each side by '-5'. w = -0.6 Simplifying w = -0.6Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 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 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5Solution
w = {-0.6, 2.5}
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