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Simplifying 3y(5y2 + -8) = 0 Reorder the terms: 3y(-8 + 5y2) = 0 (-8 * 3y + 5y2 * 3y) = 0 (-24y + 15y3) = 0 Solving -24y + 15y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-8 + 5y2) = 0 Ignore the factor 3.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 '(-8 + 5y2)' equal to zero and attempt to solve: Simplifying -8 + 5y2 = 0 Solving -8 + 5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y2 = 0 + 8 5y2 = 0 + 8 Combine like terms: 0 + 8 = 8 5y2 = 8 Divide each side by '5'. y2 = 1.6 Simplifying y2 = 1.6 Take the square root of each side: y = {-1.264911064, 1.264911064}Solution
y = {0, -1.264911064, 1.264911064}
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