2y^4-6y^3=12y^2-36y

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Solution for 2y^4-6y^3=12y^2-36y equation:


Simplifying
2y4 + -6y3 = 12y2 + -36y

Reorder the terms:
-6y3 + 2y4 = 12y2 + -36y

Reorder the terms:
-6y3 + 2y4 = -36y + 12y2

Solving
-6y3 + 2y4 = -36y + 12y2

Solving for variable 'y'.

Reorder the terms:
36y + -12y2 + -6y3 + 2y4 = -36y + 12y2 + 36y + -12y2

Reorder the terms:
36y + -12y2 + -6y3 + 2y4 = -36y + 36y + 12y2 + -12y2

Combine like terms: -36y + 36y = 0
36y + -12y2 + -6y3 + 2y4 = 0 + 12y2 + -12y2
36y + -12y2 + -6y3 + 2y4 = 12y2 + -12y2

Combine like terms: 12y2 + -12y2 = 0
36y + -12y2 + -6y3 + 2y4 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(18 + -6y + -3y2 + y3) = 0

Ignore the factor 2.

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 '(18 + -6y + -3y2 + y3)' equal to zero and attempt to solve: Simplifying 18 + -6y + -3y2 + y3 = 0 Solving 18 + -6y + -3y2 + y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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