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Simplifying 5y(y + 3) + -4y(y + -2) = 0 Reorder the terms: 5y(3 + y) + -4y(y + -2) = 0 (3 * 5y + y * 5y) + -4y(y + -2) = 0 (15y + 5y2) + -4y(y + -2) = 0 Reorder the terms: 15y + 5y2 + -4y(-2 + y) = 0 15y + 5y2 + (-2 * -4y + y * -4y) = 0 15y + 5y2 + (8y + -4y2) = 0 Reorder the terms: 15y + 8y + 5y2 + -4y2 = 0 Combine like terms: 15y + 8y = 23y 23y + 5y2 + -4y2 = 0 Combine like terms: 5y2 + -4y2 = 1y2 23y + 1y2 = 0 Solving 23y + 1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(23 + y) = 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 '(23 + y)' equal to zero and attempt to solve: Simplifying 23 + y = 0 Solving 23 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + y = 0 + -23 y = 0 + -23 Combine like terms: 0 + -23 = -23 y = -23 Simplifying y = -23Solution
y = {0, -23}
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