4y^3+4yx^2-38y-4=0

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Solution for 4y^3+4yx^2-38y-4=0 equation:


Simplifying
4y3 + 4yx2 + -38y + -4 = 0

Reorder the terms:
-4 + 4x2y + -38y + 4y3 = 0

Solving
-4 + 4x2y + -38y + 4y3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4x2y + -38y + 4 + 4y3 = 0 + 4

Reorder the terms:
-4 + 4 + 4x2y + -38y + 4y3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 4x2y + -38y + 4y3 = 0 + 4
4x2y + -38y + 4y3 = 0 + 4

Combine like terms: 0 + 4 = 4
4x2y + -38y + 4y3 = 4

Add '38y' to each side of the equation.
4x2y + -38y + 38y + 4y3 = 4 + 38y

Combine like terms: -38y + 38y = 0
4x2y + 0 + 4y3 = 4 + 38y
4x2y + 4y3 = 4 + 38y

Add '-4y3' to each side of the equation.
4x2y + 4y3 + -4y3 = 4 + 38y + -4y3

Combine like terms: 4y3 + -4y3 = 0
4x2y + 0 = 4 + 38y + -4y3
4x2y = 4 + 38y + -4y3

Divide each side by '4y'.
x2 = y-1 + 9.5 + -1y2

Simplifying
x2 = y-1 + 9.5 + -1y2

Reorder the terms:
x2 = 9.5 + y-1 + -1y2

Reorder the terms:
-9.5 + x2 + -1y-1 + y2 = 9.5 + y-1 + -1y2 + -9.5 + -1y-1 + y2

Reorder the terms:
-9.5 + x2 + -1y-1 + y2 = 9.5 + -9.5 + y-1 + -1y-1 + -1y2 + y2

Combine like terms: 9.5 + -9.5 = 0.0
-9.5 + x2 + -1y-1 + y2 = 0.0 + y-1 + -1y-1 + -1y2 + y2
-9.5 + x2 + -1y-1 + y2 = y-1 + -1y-1 + -1y2 + y2

Combine like terms: y-1 + -1y-1 = 0
-9.5 + x2 + -1y-1 + y2 = 0 + -1y2 + y2
-9.5 + x2 + -1y-1 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-9.5 + x2 + -1y-1 + y2 = 0

The solution to this equation could not be determined.

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