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Simplifying 3y2 + 3y = 9y Reorder the terms: 3y + 3y2 = 9y Solving 3y + 3y2 = 9y Solving for variable 'y'. Reorder the terms: 3y + -9y + 3y2 = 9y + -9y Combine like terms: 3y + -9y = -6y -6y + 3y2 = 9y + -9y Combine like terms: 9y + -9y = 0 -6y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-2 + 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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {0, 2}
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