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Simplifying y(y + 2) + 2y(y + 4) = 0 Reorder the terms: y(2 + y) + 2y(y + 4) = 0 (2 * y + y * y) + 2y(y + 4) = 0 (2y + y2) + 2y(y + 4) = 0 Reorder the terms: 2y + y2 + 2y(4 + y) = 0 2y + y2 + (4 * 2y + y * 2y) = 0 2y + y2 + (8y + 2y2) = 0 Reorder the terms: 2y + 8y + y2 + 2y2 = 0 Combine like terms: 2y + 8y = 10y 10y + y2 + 2y2 = 0 Combine like terms: y2 + 2y2 = 3y2 10y + 3y2 = 0 Solving 10y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(10 + 3y) = 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 '(10 + 3y)' equal to zero and attempt to solve: Simplifying 10 + 3y = 0 Solving 10 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3y = 0 + -10 3y = 0 + -10 Combine like terms: 0 + -10 = -10 3y = -10 Divide each side by '3'. y = -3.333333333 Simplifying y = -3.333333333Solution
y = {0, -3.333333333}
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