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Simplifying 6y2 + 36 = 30y Reorder the terms: 36 + 6y2 = 30y Solving 36 + 6y2 = 30y Solving for variable 'y'. Reorder the terms: 36 + -30y + 6y2 = 30y + -30y Combine like terms: 30y + -30y = 0 36 + -30y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(6 + -5y + y2) = 0 Factor a trinomial. 6((2 + -1y)(3 + -1y)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {2, 3}
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