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Simplifying 0 = -1y2 + 25y Reorder the terms: 0 = 25y + -1y2 Solving 0 = 25y + -1y2 Solving for variable 'y'. Remove the zero: -25y + y2 = 25y + -1y2 + -25y + y2 Reorder the terms: -25y + y2 = 25y + -25y + -1y2 + y2 Combine like terms: 25y + -25y = 0 -25y + y2 = 0 + -1y2 + y2 -25y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -25y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-25 + y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-25 + y)' equal to zero and attempt to solve: Simplifying -25 + y = 0 Solving -25 + y = 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 + y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + y = 0 + 25 y = 0 + 25 Combine like terms: 0 + 25 = 25 y = 25 Simplifying y = 25Solution
y = {0, 25}
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