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Simplifying 32w2 + 160w + -250 = 0 Reorder the terms: -250 + 160w + 32w2 = 0 Solving -250 + 160w + 32w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-125 + 80w + 16w2) = 0 Factor a trinomial. 2((-25 + -4w)(5 + -4w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + -4w)' equal to zero and attempt to solve: Simplifying -25 + -4w = 0 Solving -25 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4w = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4w = 0 + 25 -4w = 0 + 25 Combine like terms: 0 + 25 = 25 -4w = 25 Divide each side by '-4'. w = -6.25 Simplifying w = -6.25Subproblem 2
Set the factor '(5 + -4w)' equal to zero and attempt to solve: Simplifying 5 + -4w = 0 Solving 5 + -4w = 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 + -4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 0 + -5 -4w = 0 + -5 Combine like terms: 0 + -5 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25Solution
w = {-6.25, 1.25}
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