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Simplifying -5(-5y + -6y2) + -6(-2y + 3y2) = 0 (-5y * -5 + -6y2 * -5) + -6(-2y + 3y2) = 0 (25y + 30y2) + -6(-2y + 3y2) = 0 25y + 30y2 + (-2y * -6 + 3y2 * -6) = 0 25y + 30y2 + (12y + -18y2) = 0 Reorder the terms: 25y + 12y + 30y2 + -18y2 = 0 Combine like terms: 25y + 12y = 37y 37y + 30y2 + -18y2 = 0 Combine like terms: 30y2 + -18y2 = 12y2 37y + 12y2 = 0 Solving 37y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(37 + 12y) = 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 + 12y)' equal to zero and attempt to solve: Simplifying 37 + 12y = 0 Solving 37 + 12y = 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 + 12y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 12y = 0 + -37 12y = 0 + -37 Combine like terms: 0 + -37 = -37 12y = -37 Divide each side by '12'. y = -3.083333333 Simplifying y = -3.083333333Solution
y = {0, -3.083333333}
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