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Simplifying 0 = y2 + 3y Reorder the terms: 0 = 3y + y2 Solving 0 = 3y + y2 Solving for variable 'y'. Remove the zero: -3y + -1y2 = 3y + y2 + -3y + -1y2 Reorder the terms: -3y + -1y2 = 3y + -3y + y2 + -1y2 Combine like terms: 3y + -3y = 0 -3y + -1y2 = 0 + y2 + -1y2 -3y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -3y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(3 + y) = 0 Ignore the factor -1.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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {0, -3}
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