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Simplifying 0 = 8y3 + -5y Reorder the terms: 0 = -5y + 8y3 Solving 0 = -5y + 8y3 Solving for variable 'y'. Remove the zero: 5y + -8y3 = -5y + 8y3 + 5y + -8y3 Reorder the terms: 5y + -8y3 = -5y + 5y + 8y3 + -8y3 Combine like terms: -5y + 5y = 0 5y + -8y3 = 0 + 8y3 + -8y3 5y + -8y3 = 8y3 + -8y3 Combine like terms: 8y3 + -8y3 = 0 5y + -8y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(5 + -8y2) = 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 + -8y2)' equal to zero and attempt to solve: Simplifying 5 + -8y2 = 0 Solving 5 + -8y2 = 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 + -8y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8y2 = 0 + -5 -8y2 = 0 + -5 Combine like terms: 0 + -5 = -5 -8y2 = -5 Divide each side by '-8'. y2 = 0.625 Simplifying y2 = 0.625 Take the square root of each side: y = {-0.790569415, 0.790569415}Solution
y = {0, -0.790569415, 0.790569415}
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