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Simplifying 3y(4 + 3Y) + y(6y + -5) = 0 (4 * 3y + 3Y * 3y) + y(6y + -5) = 0 (12y + 9yY) + y(6y + -5) = 0 Reorder the terms: 12y + 9yY + y(-5 + 6y) = 0 12y + 9yY + (-5 * y + 6y * y) = 0 12y + 9yY + (-5y + 6y2) = 0 Reorder the terms: 12y + -5y + 9yY + 6y2 = 0 Combine like terms: 12y + -5y = 7y 7y + 9yY + 6y2 = 0 Solving 7y + 9yY + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(7 + 9Y + 6y) = 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 '(7 + 9Y + 6y)' equal to zero and attempt to solve: Simplifying 7 + 9Y + 6y = 0 Solving 7 + 9Y + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 9Y + -7 + 6y = 0 + -7 Reorder the terms: 7 + -7 + 9Y + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9Y + 6y = 0 + -7 9Y + 6y = 0 + -7 Combine like terms: 0 + -7 = -7 9Y + 6y = -7 Add '-9Y' to each side of the equation. 9Y + -9Y + 6y = -7 + -9Y Combine like terms: 9Y + -9Y = 0 0 + 6y = -7 + -9Y 6y = -7 + -9Y Divide each side by '6'. y = -1.166666667 + -1.5Y Simplifying y = -1.166666667 + -1.5YSolution
y = {0, -1.166666667 + -1.5Y}
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