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Simplifying 36y2 + 114y + -20 = 0 Reorder the terms: -20 + 114y + 36y2 = 0 Solving -20 + 114y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 57y + 18y2) = 0 Factor a trinomial. 2((-10 + -3y)(1 + -6y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -3y)' equal to zero and attempt to solve: Simplifying -10 + -3y = 0 Solving -10 + -3y = 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 + -3y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = 0 + 10 -3y = 0 + 10 Combine like terms: 0 + 10 = 10 -3y = 10 Divide each side by '-3'. y = -3.333333333 Simplifying y = -3.333333333Subproblem 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 = {-3.333333333, 0.1666666667}
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