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Simplifying (w2 + -630w + 3125) = 0 Reorder the terms: (3125 + -630w + w2) = 0 Remove parenthesis around (3125 + -630w + w2) 3125 + -630w + w2 = 0 Solving 3125 + -630w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -1w)(625 + -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 '(625 + -1w)' equal to zero and attempt to solve: Simplifying 625 + -1w = 0 Solving 625 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-625' to each side of the equation. 625 + -625 + -1w = 0 + -625 Combine like terms: 625 + -625 = 0 0 + -1w = 0 + -625 -1w = 0 + -625 Combine like terms: 0 + -625 = -625 -1w = -625 Divide each side by '-1'. w = 625 Simplifying w = 625Solution
w = {5, 625}
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