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Simplifying 2y3 = 10y2 Solving 2y3 = 10y2 Solving for variable 'y'. Reorder the terms: -10y2 + 2y3 = 10y2 + -10y2 Combine like terms: 10y2 + -10y2 = 0 -10y2 + 2y3 = 0 Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-5 + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Solution
y = {0, 5}
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