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Simplifying 3y2 = 27y + 30 Reorder the terms: 3y2 = 30 + 27y Solving 3y2 = 30 + 27y Solving for variable 'y'. Reorder the terms: -30 + -27y + 3y2 = 30 + 27y + -30 + -27y Reorder the terms: -30 + -27y + 3y2 = 30 + -30 + 27y + -27y Combine like terms: 30 + -30 = 0 -30 + -27y + 3y2 = 0 + 27y + -27y -30 + -27y + 3y2 = 27y + -27y Combine like terms: 27y + -27y = 0 -30 + -27y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + -9y + y2) = 0 Factor a trinomial. 3((-1 + -1y)(10 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {-1, 10}
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