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Simplifying 3y2 + 12y + -420 = 0 Reorder the terms: -420 + 12y + 3y2 = 0 Solving -420 + 12y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-140 + 4y + y2) = 0 Factor a trinomial. 3((-14 + -1y)(10 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-14 + -1y)' equal to zero and attempt to solve: Simplifying -14 + -1y = 0 Solving -14 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1y = 0 + 14 -1y = 0 + 14 Combine like terms: 0 + 14 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14Subproblem 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 = {-14, 10}
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