3y^4-330y=-30y^3+33y^2

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Solution for 3y^4-330y=-30y^3+33y^2 equation:


Simplifying
3y4 + -330y = -30y3 + 33y2

Reorder the terms:
-330y + 3y4 = -30y3 + 33y2

Reorder the terms:
-330y + 3y4 = 33y2 + -30y3

Solving
-330y + 3y4 = 33y2 + -30y3

Solving for variable 'y'.

Reorder the terms:
-330y + -33y2 + 30y3 + 3y4 = 33y2 + -30y3 + -33y2 + 30y3

Reorder the terms:
-330y + -33y2 + 30y3 + 3y4 = 33y2 + -33y2 + -30y3 + 30y3

Combine like terms: 33y2 + -33y2 = 0
-330y + -33y2 + 30y3 + 3y4 = 0 + -30y3 + 30y3
-330y + -33y2 + 30y3 + 3y4 = -30y3 + 30y3

Combine like terms: -30y3 + 30y3 = 0
-330y + -33y2 + 30y3 + 3y4 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-110 + -11y + 10y2 + y3) = 0

Ignore the factor 3.

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 '(-110 + -11y + 10y2 + y3)' equal to zero and attempt to solve: Simplifying -110 + -11y + 10y2 + y3 = 0 Solving -110 + -11y + 10y2 + 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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