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Simplifying 6y3(y3 + -5y) + 2y6 = 0 Reorder the terms: 6y3(-5y + y3) + 2y6 = 0 (-5y * 6y3 + y3 * 6y3) + 2y6 = 0 (-30y4 + 6y6) + 2y6 = 0 Combine like terms: 6y6 + 2y6 = 8y6 -30y4 + 8y6 = 0 Solving -30y4 + 8y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y4'. 2y4(-15 + 4y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-15 + 4y2)' equal to zero and attempt to solve: Simplifying -15 + 4y2 = 0 Solving -15 + 4y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 4y2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4y2 = 0 + 15 4y2 = 0 + 15 Combine like terms: 0 + 15 = 15 4y2 = 15 Divide each side by '4'. y2 = 3.75 Simplifying y2 = 3.75 Take the square root of each side: y = {-1.936491673, 1.936491673}Solution
y = {-1.936491673, 1.936491673}
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