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Simplifying 6y3 + -4y = 0 Reorder the terms: -4y + 6y3 = 0 Solving -4y + 6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-2 + 3y2) = 0 Ignore the factor 2.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 + 3y2)' equal to zero and attempt to solve: Simplifying -2 + 3y2 = 0 Solving -2 + 3y2 = 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 + 3y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y2 = 0 + 2 3y2 = 0 + 2 Combine like terms: 0 + 2 = 2 3y2 = 2 Divide each side by '3'. y2 = 0.6666666667 Simplifying y2 = 0.6666666667 Take the square root of each side: y = {-0.816496581, 0.816496581}Solution
y = {0, -0.816496581, 0.816496581}
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