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Simplifying 0 = 12y3 + -36y Reorder the terms: 0 = -36y + 12y3 Solving 0 = -36y + 12y3 Solving for variable 'y'. Remove the zero: 36y + -12y3 = -36y + 12y3 + 36y + -12y3 Reorder the terms: 36y + -12y3 = -36y + 36y + 12y3 + -12y3 Combine like terms: -36y + 36y = 0 36y + -12y3 = 0 + 12y3 + -12y3 36y + -12y3 = 12y3 + -12y3 Combine like terms: 12y3 + -12y3 = 0 36y + -12y3 = 0 Factor out the Greatest Common Factor (GCF), '12y'. 12y(3 + -1y2) = 0 Ignore the factor 12.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 '(3 + -1y2)' equal to zero and attempt to solve: Simplifying 3 + -1y2 = 0 Solving 3 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y2 = 0 + -3 -1y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y2 = -3 Divide each side by '-1'. y2 = 3 Simplifying y2 = 3 Take the square root of each side: y = {-1.732050808, 1.732050808}Solution
y = {0, -1.732050808, 1.732050808}
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