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Simplifying y(y + 5) + 2y(y + -2) = 0 Reorder the terms: y(5 + y) + 2y(y + -2) = 0 (5 * y + y * y) + 2y(y + -2) = 0 (5y + y2) + 2y(y + -2) = 0 Reorder the terms: 5y + y2 + 2y(-2 + y) = 0 5y + y2 + (-2 * 2y + y * 2y) = 0 5y + y2 + (-4y + 2y2) = 0 Reorder the terms: 5y + -4y + y2 + 2y2 = 0 Combine like terms: 5y + -4y = 1y 1y + y2 + 2y2 = 0 Combine like terms: y2 + 2y2 = 3y2 1y + 3y2 = 0 Solving 1y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(1 + 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 '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {0, -0.3333333333}
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