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Simplifying 3y + 5y(y + 3) = 5y Reorder the terms: 3y + 5y(3 + y) = 5y 3y + (3 * 5y + y * 5y) = 5y 3y + (15y + 5y2) = 5y Combine like terms: 3y + 15y = 18y 18y + 5y2 = 5y Solving 18y + 5y2 = 5y Solving for variable 'y'. Reorder the terms: 18y + -5y + 5y2 = 5y + -5y Combine like terms: 18y + -5y = 13y 13y + 5y2 = 5y + -5y Combine like terms: 5y + -5y = 0 13y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(13 + 5y) = 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 + 5y)' equal to zero and attempt to solve: Simplifying 13 + 5y = 0 Solving 13 + 5y = 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 + 5y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 0 + -13 5y = 0 + -13 Combine like terms: 0 + -13 = -13 5y = -13 Divide each side by '5'. y = -2.6 Simplifying y = -2.6Solution
y = {0, -2.6}
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