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Simplifying w2 + 50w = 21875 Reorder the terms: 50w + w2 = 21875 Solving 50w + w2 = 21875 Solving for variable 'w'. Reorder the terms: -21875 + 50w + w2 = 21875 + -21875 Combine like terms: 21875 + -21875 = 0 -21875 + 50w + w2 = 0 Factor a trinomial. (-175 + -1w)(125 + -1w) = 0Subproblem 1
Set the factor '(-175 + -1w)' equal to zero and attempt to solve: Simplifying -175 + -1w = 0 Solving -175 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '175' to each side of the equation. -175 + 175 + -1w = 0 + 175 Combine like terms: -175 + 175 = 0 0 + -1w = 0 + 175 -1w = 0 + 175 Combine like terms: 0 + 175 = 175 -1w = 175 Divide each side by '-1'. w = -175 Simplifying w = -175Subproblem 2
Set the factor '(125 + -1w)' equal to zero and attempt to solve: Simplifying 125 + -1w = 0 Solving 125 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1w = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1w = 0 + -125 -1w = 0 + -125 Combine like terms: 0 + -125 = -125 -1w = -125 Divide each side by '-1'. w = 125 Simplifying w = 125Solution
w = {-175, 125}
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