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Simplifying y2 + -125y + 2500 = 0 Reorder the terms: 2500 + -125y + y2 = 0 Solving 2500 + -125y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (25 + -1y)(100 + -1y) = 0Subproblem 1
Set the factor '(25 + -1y)' equal to zero and attempt to solve: Simplifying 25 + -1y = 0 Solving 25 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1y = 0 + -25 -1y = 0 + -25 Combine like terms: 0 + -25 = -25 -1y = -25 Divide each side by '-1'. y = 25 Simplifying y = 25Subproblem 2
Set the factor '(100 + -1y)' equal to zero and attempt to solve: Simplifying 100 + -1y = 0 Solving 100 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1y = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1y = 0 + -100 -1y = 0 + -100 Combine like terms: 0 + -100 = -100 -1y = -100 Divide each side by '-1'. y = 100 Simplifying y = 100Solution
y = {25, 100}
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