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Simplifying w2 + -100w + 1875 = 0 Reorder the terms: 1875 + -100w + w2 = 0 Solving 1875 + -100w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (25 + -1w)(75 + -1w) = 0Subproblem 1
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 = 25Subproblem 2
Set the factor '(75 + -1w)' equal to zero and attempt to solve: Simplifying 75 + -1w = 0 Solving 75 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1w = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1w = 0 + -75 -1w = 0 + -75 Combine like terms: 0 + -75 = -75 -1w = -75 Divide each side by '-1'. w = 75 Simplifying w = 75Solution
w = {25, 75}
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