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Simplifying 45Y3 = 50Y2 Solving 45Y3 = 50Y2 Solving for variable 'Y'. Reorder the terms: -50Y2 + 45Y3 = 50Y2 + -50Y2 Combine like terms: 50Y2 + -50Y2 = 0 -50Y2 + 45Y3 = 0 Factor out the Greatest Common Factor (GCF), '5Y2'. 5Y2(-10 + 9Y) = 0 Ignore the factor 5.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 '(-10 + 9Y)' equal to zero and attempt to solve: Simplifying -10 + 9Y = 0 Solving -10 + 9Y = 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 + 9Y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9Y = 0 + 10 9Y = 0 + 10 Combine like terms: 0 + 10 = 10 9Y = 10 Divide each side by '9'. Y = 1.111111111 Simplifying Y = 1.111111111Solution
Y = {0, 1.111111111}
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