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Simplifying 45 = 3y2 + 6y Reorder the terms: 45 = 6y + 3y2 Solving 45 = 6y + 3y2 Solving for variable 'y'. Reorder the terms: 45 + -6y + -3y2 = 6y + -6y + 3y2 + -3y2 Combine like terms: 6y + -6y = 0 45 + -6y + -3y2 = 0 + 3y2 + -3y2 45 + -6y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 45 + -6y + -3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -2y + -1y2) = 0 Factor a trinomial. 3((3 + -1y)(5 + y)) = 0 Ignore the factor 3.Subproblem 1
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 = 3Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {3, -5}
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