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Simplifying 3y3 + -23y + -8y = 0 Reorder the terms: -23y + -8y + 3y3 = 0 Combine like terms: -23y + -8y = -31y -31y + 3y3 = 0 Solving -31y + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-31 + 3y2) = 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 '(-31 + 3y2)' equal to zero and attempt to solve: Simplifying -31 + 3y2 = 0 Solving -31 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 3y2 = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 3y2 = 0 + 31 3y2 = 0 + 31 Combine like terms: 0 + 31 = 31 3y2 = 31 Divide each side by '3'. y2 = 10.33333333 Simplifying y2 = 10.33333333 Take the square root of each side: y = {-3.214550253, 3.214550253}Solution
y = {0, -3.214550253, 3.214550253}
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