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Simplifying 20y + -25y3 = 0 Solving 20y + -25y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(4 + -5y2) = 0 Ignore the factor 5.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 '(4 + -5y2)' equal to zero and attempt to solve: Simplifying 4 + -5y2 = 0 Solving 4 + -5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y2 = 0 + -4 -5y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5y2 = -4 Divide each side by '-5'. y2 = 0.8 Simplifying y2 = 0.8 Take the square root of each side: y = {-0.894427191, 0.894427191}Solution
y = {0, -0.894427191, 0.894427191}
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