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Simplifying 3 + 36y + 108y2 = 0 Solving 3 + 36y + 108y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 12y + 36y2) = 0 Factor a trinomial. 3((1 + 6y)(1 + 6y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 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 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Divide each side by '6'. y = -0.1666666667 Simplifying y = -0.1666666667Subproblem 2
Set the factor '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 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 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Divide each side by '6'. y = -0.1666666667 Simplifying y = -0.1666666667Solution
y = {-0.1666666667, -0.1666666667}
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