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Simplifying 12y3 = 15y Solving 12y3 = 15y Solving for variable 'y'. Reorder the terms: -15y + 12y3 = 15y + -15y Combine like terms: 15y + -15y = 0 -15y + 12y3 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-5 + 4y2) = 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 '(-5 + 4y2)' equal to zero and attempt to solve: Simplifying -5 + 4y2 = 0 Solving -5 + 4y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4y2 = 0 + 5 4y2 = 0 + 5 Combine like terms: 0 + 5 = 5 4y2 = 5 Divide each side by '4'. y2 = 1.25 Simplifying y2 = 1.25 Take the square root of each side: y = {-1.118033989, 1.118033989}Solution
y = {0, -1.118033989, 1.118033989}
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