6y^3-25y=0

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Solution for 6y^3-25y=0 equation:


Simplifying
6y3 + -25y = 0

Reorder the terms:
-25y + 6y3 = 0

Solving
-25y + 6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-25 + 6y2) = 0

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 = 0

Subproblem 2

Set the factor '(-25 + 6y2)' equal to zero and attempt to solve: Simplifying -25 + 6y2 = 0 Solving -25 + 6y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 6y2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 6y2 = 0 + 25 6y2 = 0 + 25 Combine like terms: 0 + 25 = 25 6y2 = 25 Divide each side by '6'. y2 = 4.166666667 Simplifying y2 = 4.166666667 Take the square root of each side: y = {-2.041241452, 2.041241452}

Solution

y = {0, -2.041241452, 2.041241452}

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