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Simplifying 3y2 + 12y = 15 Reorder the terms: 12y + 3y2 = 15 Solving 12y + 3y2 = 15 Solving for variable 'y'. Reorder the terms: -15 + 12y + 3y2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 12y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 4y + y2) = 0 Factor a trinomial. 3((-5 + -1y)(1 + -1y)) = 0 Ignore the factor 3.Subproblem 1
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 = -5Subproblem 2
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 = 1Solution
y = {-5, 1}
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