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Simplifying 9y = 6y3 Solving 9y = 6y3 Solving for variable 'y'. Combine like terms: 6y3 + -6y3 = 0 9y + -6y3 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(3 + -2y2) = 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 '(3 + -2y2)' equal to zero and attempt to solve: Simplifying 3 + -2y2 = 0 Solving 3 + -2y2 = 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 + -2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y2 = 0 + -3 -2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2y2 = -3 Divide each side by '-2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}Solution
y = {0, -1.224744871, 1.224744871}
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