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Simplifying 3Y2 = 27Y Solving 3Y2 = 27Y Solving for variable 'Y'. Reorder the terms: -27Y + 3Y2 = 27Y + -27Y Combine like terms: 27Y + -27Y = 0 -27Y + 3Y2 = 0 Factor out the Greatest Common Factor (GCF), '3Y'. 3Y(-9 + Y) = 0 Ignore the factor 3.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 '(-9 + Y)' equal to zero and attempt to solve: Simplifying -9 + Y = 0 Solving -9 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + Y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + Y = 0 + 9 Y = 0 + 9 Combine like terms: 0 + 9 = 9 Y = 9 Simplifying Y = 9Solution
Y = {0, 9}
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