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Simplifying 6y2 + 33y + -315 = 0 Reorder the terms: -315 + 33y + 6y2 = 0 Solving -315 + 33y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-105 + 11y + 2y2) = 0 Factor a trinomial. 3((-21 + -2y)(5 + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-21 + -2y)' equal to zero and attempt to solve: Simplifying -21 + -2y = 0 Solving -21 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2y = 0 + 21 -2y = 0 + 21 Combine like terms: 0 + 21 = 21 -2y = 21 Divide each side by '-2'. y = -10.5 Simplifying y = -10.5Subproblem 2
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 = 5Solution
y = {-10.5, 5}
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