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Simplifying 4y3 = 8y Solving 4y3 = 8y Solving for variable 'y'. Reorder the terms: -8y + 4y3 = 8y + -8y Combine like terms: 8y + -8y = 0 -8y + 4y3 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-2 + y2) = 0 Ignore the factor 4.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 '(-2 + y2)' equal to zero and attempt to solve: Simplifying -2 + y2 = 0 Solving -2 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y2 = 0 + 2 y2 = 0 + 2 Combine like terms: 0 + 2 = 2 y2 = 2 Simplifying y2 = 2 Take the square root of each side: y = {-1.414213562, 1.414213562}Solution
y = {0, -1.414213562, 1.414213562}
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