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Simplifying 36y3 + -84y2 + -147y = 0 Reorder the terms: -147y + -84y2 + 36y3 = 0 Solving -147y + -84y2 + 36y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-49 + -28y + 12y2) = 0 Factor a trinomial. 3y((-7 + -6y)(7 + -2y)) = 0 Ignore the factor 3.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 '(-7 + -6y)' equal to zero and attempt to solve: Simplifying -7 + -6y = 0 Solving -7 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6y = 0 + 7 -6y = 0 + 7 Combine like terms: 0 + 7 = 7 -6y = 7 Divide each side by '-6'. y = -1.166666667 Simplifying y = -1.166666667Subproblem 3
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {0, -1.166666667, 3.5}
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