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Simplifying 0 = 3y2 + 6y Reorder the terms: 0 = 6y + 3y2 Solving 0 = 6y + 3y2 Solving for variable 'y'. Remove the zero: -6y + -3y2 = 6y + 3y2 + -6y + -3y2 Reorder the terms: -6y + -3y2 = 6y + -6y + 3y2 + -3y2 Combine like terms: 6y + -6y = 0 -6y + -3y2 = 0 + 3y2 + -3y2 -6y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 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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