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Simplifying 250y + -1y2 = 10000 Solving 250y + -1y2 = 10000 Solving for variable 'y'. Reorder the terms: -10000 + 250y + -1y2 = 10000 + -10000 Combine like terms: 10000 + -10000 = 0 -10000 + 250y + -1y2 = 0 Factor a trinomial. (-200 + y)(50 + -1y) = 0Subproblem 1
Set the factor '(-200 + y)' equal to zero and attempt to solve: Simplifying -200 + y = 0 Solving -200 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + y = 0 + 200 Combine like terms: -200 + 200 = 0 0 + y = 0 + 200 y = 0 + 200 Combine like terms: 0 + 200 = 200 y = 200 Simplifying y = 200Subproblem 2
Set the factor '(50 + -1y)' equal to zero and attempt to solve: Simplifying 50 + -1y = 0 Solving 50 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1y = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1y = 0 + -50 -1y = 0 + -50 Combine like terms: 0 + -50 = -50 -1y = -50 Divide each side by '-1'. y = 50 Simplifying y = 50Solution
y = {200, 50}
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