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Simplifying 100y + -2y2 = 0 Solving 100y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(50 + -1y) = 0 Ignore the factor 2.Subproblem 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 '(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 = {0, 50}
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