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Simplifying 6y(5y2 + -4) = 0 Reorder the terms: 6y(-4 + 5y2) = 0 (-4 * 6y + 5y2 * 6y) = 0 (-24y + 30y3) = 0 Solving -24y + 30y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y'. 6y(-4 + 5y2) = 0 Ignore the factor 6.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 '(-4 + 5y2)' equal to zero and attempt to solve: Simplifying -4 + 5y2 = 0 Solving -4 + 5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y2 = 0 + 4 5y2 = 0 + 4 Combine like terms: 0 + 4 = 4 5y2 = 4 Divide each side by '5'. y2 = 0.8 Simplifying y2 = 0.8 Take the square root of each side: y = {-0.894427191, 0.894427191}Solution
y = {0, -0.894427191, 0.894427191}
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