6y^4=3y^3

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Solution for 6y^4=3y^3 equation:


Simplifying
6y4 = 3y3

Solving
6y4 = 3y3

Solving for variable 'y'.

Reorder the terms:
-3y3 + 6y4 = 3y3 + -3y3

Combine like terms: 3y3 + -3y3 = 0
-3y3 + 6y4 = 0

Factor out the Greatest Common Factor (GCF), '3y3'.
3y3(-1 + 2y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 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 '(-1 + 2y)' equal to zero and attempt to solve: Simplifying -1 + 2y = 0 Solving -1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 0 + 1 2y = 0 + 1 Combine like terms: 0 + 1 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5

Solution

y = {0.5}

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