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Simplifying 10y + -8y3 = 0 Solving 10y + -8y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(5 + -4y2) = 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 '(5 + -4y2)' equal to zero and attempt to solve: Simplifying 5 + -4y2 = 0 Solving 5 + -4y2 = 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 + -4y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y2 = 0 + -5 -4y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4y2 = -5 Divide each side by '-4'. y2 = 1.25 Simplifying y2 = 1.25 Take the square root of each side: y = {-1.118033989, 1.118033989}Solution
y = {0, -1.118033989, 1.118033989}
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