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Simplifying 3y(5y + 4) + -5y(2y + -5) = 0 Reorder the terms: 3y(4 + 5y) + -5y(2y + -5) = 0 (4 * 3y + 5y * 3y) + -5y(2y + -5) = 0 (12y + 15y2) + -5y(2y + -5) = 0 Reorder the terms: 12y + 15y2 + -5y(-5 + 2y) = 0 12y + 15y2 + (-5 * -5y + 2y * -5y) = 0 12y + 15y2 + (25y + -10y2) = 0 Reorder the terms: 12y + 25y + 15y2 + -10y2 = 0 Combine like terms: 12y + 25y = 37y 37y + 15y2 + -10y2 = 0 Combine like terms: 15y2 + -10y2 = 5y2 37y + 5y2 = 0 Solving 37y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(37 + 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 '(37 + 5y)' equal to zero and attempt to solve: Simplifying 37 + 5y = 0 Solving 37 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 5y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 5y = 0 + -37 5y = 0 + -37 Combine like terms: 0 + -37 = -37 5y = -37 Divide each side by '5'. y = -7.4 Simplifying y = -7.4Solution
y = {0, -7.4}
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