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Simplifying -12y3 + 10y2 + 2y = 0 Reorder the terms: 2y + 10y2 + -12y3 = 0 Solving 2y + 10y2 + -12y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(1 + 5y + -6y2) = 0 Factor a trinomial. 2y((1 + -1y)(1 + 6y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 3
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, 1, -0.1666666667}
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