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Simplifying 4y3 + -5y = 0 Reorder the terms: -5y + 4y3 = 0 Solving -5y + 4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + 4y2) = 0Subproblem 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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