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Simplifying 3y = 2y(y + 12) Reorder the terms: 3y = 2y(12 + y) 3y = (12 * 2y + y * 2y) 3y = (24y + 2y2) Solving 3y = 24y + 2y2 Solving for variable 'y'. Combine like terms: 3y + -24y = -21y -21y + -2y2 = 24y + 2y2 + -24y + -2y2 Reorder the terms: -21y + -2y2 = 24y + -24y + 2y2 + -2y2 Combine like terms: 24y + -24y = 0 -21y + -2y2 = 0 + 2y2 + -2y2 -21y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -21y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(21 + 2y) = 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 '(21 + 2y)' equal to zero and attempt to solve: Simplifying 21 + 2y = 0 Solving 21 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 0 + -21 2y = 0 + -21 Combine like terms: 0 + -21 = -21 2y = -21 Divide each side by '2'. y = -10.5 Simplifying y = -10.5Solution
y = {0, -10.5}
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