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Simplifying 5y(y + 2) + -1y(y + -3) = 0 Reorder the terms: 5y(2 + y) + -1y(y + -3) = 0 (2 * 5y + y * 5y) + -1y(y + -3) = 0 (10y + 5y2) + -1y(y + -3) = 0 Reorder the terms: 10y + 5y2 + -1y(-3 + y) = 0 10y + 5y2 + (-3 * -1y + y * -1y) = 0 10y + 5y2 + (3y + -1y2) = 0 Reorder the terms: 10y + 3y + 5y2 + -1y2 = 0 Combine like terms: 10y + 3y = 13y 13y + 5y2 + -1y2 = 0 Combine like terms: 5y2 + -1y2 = 4y2 13y + 4y2 = 0 Solving 13y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(13 + 4y) = 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 '(13 + 4y)' equal to zero and attempt to solve: Simplifying 13 + 4y = 0 Solving 13 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4y = 0 + -13 4y = 0 + -13 Combine like terms: 0 + -13 = -13 4y = -13 Divide each side by '4'. y = -3.25 Simplifying y = -3.25Solution
y = {0, -3.25}
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