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Simplifying 5y2 = 30y Solving 5y2 = 30y Solving for variable 'y'. Reorder the terms: -30y + 5y2 = 30y + -30y Combine like terms: 30y + -30y = 0 -30y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-6 + 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 '(-6 + y)' equal to zero and attempt to solve: Simplifying -6 + y = 0 Solving -6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + y = 0 + 6 y = 0 + 6 Combine like terms: 0 + 6 = 6 y = 6 Simplifying y = 6Solution
y = {0, 6}
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