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Simplifying w2 + -20w + -125 = 0 Reorder the terms: -125 + -20w + w2 = 0 Solving -125 + -20w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-5 + -1w)(25 + -1w) = 0Subproblem 1
Set the factor '(-5 + -1w)' equal to zero and attempt to solve: Simplifying -5 + -1w = 0 Solving -5 + -1w = 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 + -1w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 0 + 5 -1w = 0 + 5 Combine like terms: 0 + 5 = 5 -1w = 5 Divide each side by '-1'. w = -5 Simplifying w = -5Subproblem 2
Set the factor '(25 + -1w)' equal to zero and attempt to solve: Simplifying 25 + -1w = 0 Solving 25 + -1w = 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 + -1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w = 0 + -25 -1w = 0 + -25 Combine like terms: 0 + -25 = -25 -1w = -25 Divide each side by '-1'. w = 25 Simplifying w = 25Solution
w = {-5, 25}
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