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Simplifying 9y3 = 4y Solving 9y3 = 4y Solving for variable 'y'. Reorder the terms: -4y + 9y3 = 4y + -4y Combine like terms: 4y + -4y = 0 -4y + 9y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-4 + 9y2) = 0 Factor a difference between two squares. y((2 + 3y)(-2 + 3y)) = 0Subproblem 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 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 3
Set the factor '(-2 + 3y)' equal to zero and attempt to solve: Simplifying -2 + 3y = 0 Solving -2 + 3y = 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 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 0 + 2 3y = 0 + 2 Combine like terms: 0 + 2 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {0, -0.6666666667, 0.6666666667}
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