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Simplifying 4w2 + -25w + 25 = 0 Reorder the terms: 25 + -25w + 4w2 = 0 Solving 25 + -25w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -4w)(5 + -1w) = 0Subproblem 1
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 = 1.25Subproblem 2
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 = 5Solution
w = {1.25, 5}
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