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Simplifying -20y3 + 90y = 0 Reorder the terms: 90y + -20y3 = 0 Solving 90y + -20y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10y'. 10y(9 + -2y2) = 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 '(9 + -2y2)' equal to zero and attempt to solve: Simplifying 9 + -2y2 = 0 Solving 9 + -2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y2 = 0 + -9 -2y2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2y2 = -9 Divide each side by '-2'. y2 = 4.5 Simplifying y2 = 4.5 Take the square root of each side: y = {-2.121320344, 2.121320344}Solution
y = {0, -2.121320344, 2.121320344}
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