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Simplifying 4y(6y + -5) + 15y = 0 Reorder the terms: 4y(-5 + 6y) + 15y = 0 (-5 * 4y + 6y * 4y) + 15y = 0 (-20y + 24y2) + 15y = 0 Reorder the terms: -20y + 15y + 24y2 = 0 Combine like terms: -20y + 15y = -5y -5y + 24y2 = 0 Solving -5y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + 24y) = 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 '(-5 + 24y)' equal to zero and attempt to solve: Simplifying -5 + 24y = 0 Solving -5 + 24y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 24y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 24y = 0 + 5 24y = 0 + 5 Combine like terms: 0 + 5 = 5 24y = 5 Divide each side by '24'. y = 0.2083333333 Simplifying y = 0.2083333333Solution
y = {0, 0.2083333333}
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