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Simplifying 3y2 = 3y + 60 Reorder the terms: 3y2 = 60 + 3y Solving 3y2 = 60 + 3y Solving for variable 'y'. Reorder the terms: -60 + -3y + 3y2 = 60 + 3y + -60 + -3y Reorder the terms: -60 + -3y + 3y2 = 60 + -60 + 3y + -3y Combine like terms: 60 + -60 = 0 -60 + -3y + 3y2 = 0 + 3y + -3y -60 + -3y + 3y2 = 3y + -3y Combine like terms: 3y + -3y = 0 -60 + -3y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -1y + y2) = 0 Factor a trinomial. 3((-4 + -1y)(5 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-4, 5}
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