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Simplifying 3y2 + 12y + -855 = 0 Reorder the terms: -855 + 12y + 3y2 = 0 Solving -855 + 12y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-285 + 4y + y2) = 0 Factor a trinomial. 3((-19 + -1y)(15 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-19 + -1y)' equal to zero and attempt to solve: Simplifying -19 + -1y = 0 Solving -19 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1y = 0 + 19 -1y = 0 + 19 Combine like terms: 0 + 19 = 19 -1y = 19 Divide each side by '-1'. y = -19 Simplifying y = -19Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Solution
y = {-19, 15}
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