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Simplifying 5y2 = 50y Solving 5y2 = 50y Solving for variable 'y'. Reorder the terms: -50y + 5y2 = 50y + -50y Combine like terms: 50y + -50y = 0 -50y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-10 + y) = 0 Ignore the factor 5.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 '(-10 + y)' equal to zero and attempt to solve: Simplifying -10 + y = 0 Solving -10 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y = 0 + 10 y = 0 + 10 Combine like terms: 0 + 10 = 10 y = 10 Simplifying y = 10Solution
y = {0, 10}
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