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Simplifying 6y6(y3 + -8y) + 3y9 = 0 Reorder the terms: 6y6(-8y + y3) + 3y9 = 0 (-8y * 6y6 + y3 * 6y6) + 3y9 = 0 (-48y7 + 6y9) + 3y9 = 0 Combine like terms: 6y9 + 3y9 = 9y9 -48y7 + 9y9 = 0 Solving -48y7 + 9y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y7'. 3y7(-16 + 3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y7' equal to zero and attempt to solve: Simplifying y7 = 0 Solving y7 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y7 = 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 '(-16 + 3y2)' equal to zero and attempt to solve: Simplifying -16 + 3y2 = 0 Solving -16 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3y2 = 0 + 16 3y2 = 0 + 16 Combine like terms: 0 + 16 = 16 3y2 = 16 Divide each side by '3'. y2 = 5.333333333 Simplifying y2 = 5.333333333 Take the square root of each side: y = {-2.309401077, 2.309401077}Solution
y = {-2.309401077, 2.309401077}
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