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Simplifying 30y3 + -50y = 0 Reorder the terms: -50y + 30y3 = 0 Solving -50y + 30y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10y'. 10y(-5 + 3y2) = 0 Ignore the factor 10.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 + 3y2)' equal to zero and attempt to solve: Simplifying -5 + 3y2 = 0 Solving -5 + 3y2 = 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 + 3y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y2 = 0 + 5 3y2 = 0 + 5 Combine like terms: 0 + 5 = 5 3y2 = 5 Divide each side by '3'. y2 = 1.666666667 Simplifying y2 = 1.666666667 Take the square root of each side: y = {-1.290994449, 1.290994449}Solution
y = {0, -1.290994449, 1.290994449}
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