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Simplifying 3y2 = y(y + -5) Reorder the terms: 3y2 = y(-5 + y) 3y2 = (-5 * y + y * y) 3y2 = (-5y + y2) Solving 3y2 = -5y + y2 Solving for variable 'y'. Reorder the terms: 5y + 3y2 + -1y2 = -5y + y2 + 5y + -1y2 Combine like terms: 3y2 + -1y2 = 2y2 5y + 2y2 = -5y + y2 + 5y + -1y2 Reorder the terms: 5y + 2y2 = -5y + 5y + y2 + -1y2 Combine like terms: -5y + 5y = 0 5y + 2y2 = 0 + y2 + -1y2 5y + 2y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 5y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(5 + 2y) = 0Subproblem 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 '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {0, -2.5}
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