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Simplifying 12y3 + 33y3 + -6y = 0 Reorder the terms: -6y + 12y3 + 33y3 = 0 Combine like terms: 12y3 + 33y3 = 45y3 -6y + 45y3 = 0 Solving -6y + 45y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-2 + 15y2) = 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 '(-2 + 15y2)' equal to zero and attempt to solve: Simplifying -2 + 15y2 = 0 Solving -2 + 15y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 15y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 15y2 = 0 + 2 15y2 = 0 + 2 Combine like terms: 0 + 2 = 2 15y2 = 2 Divide each side by '15'. y2 = 0.1333333333 Simplifying y2 = 0.1333333333 Take the square root of each side: y = {-0.365148372, 0.365148372}Solution
y = {0, -0.365148372, 0.365148372}
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