X^4+4x^3+4x+1=19x^2

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Solution for X^4+4x^3+4x+1=19x^2 equation: 


Simplifying
X4 + 4x3 + 4x + 1 = 19x2

Reorder the terms:
1 + X4 + 4x + 4x3 = 19x2

Solving
1 + X4 + 4x + 4x3 = 19x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + X4 + 4x + -1 + 4x3 = -1 + 19x2

Reorder the terms:
1 + -1 + X4 + 4x + 4x3 = -1 + 19x2

Combine like terms: 1 + -1 = 0
0 + X4 + 4x + 4x3 = -1 + 19x2
X4 + 4x + 4x3 = -1 + 19x2

Add '-4x' to each side of the equation.
X4 + 4x + -4x + 4x3 = -1 + -4x + 19x2

Combine like terms: 4x + -4x = 0
X4 + 0 + 4x3 = -1 + -4x + 19x2
X4 + 4x3 = -1 + -4x + 19x2

Add '-4x3' to each side of the equation.
X4 + 4x3 + -4x3 = -1 + -4x + 19x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
X4 + 0 = -1 + -4x + 19x2 + -4x3
X4 = -1 + -4x + 19x2 + -4x3

Simplifying
X4 = -1 + -4x + 19x2 + -4x3

Reorder the terms:
1 + X4 + 4x + -19x2 + 4x3 = -1 + -4x + 19x2 + -4x3 + 1 + 4x + -19x2 + 4x3

Reorder the terms:
1 + X4 + 4x + -19x2 + 4x3 = -1 + 1 + -4x + 4x + 19x2 + -19x2 + -4x3 + 4x3

Combine like terms: -1 + 1 = 0
1 + X4 + 4x + -19x2 + 4x3 = 0 + -4x + 4x + 19x2 + -19x2 + -4x3 + 4x3
1 + X4 + 4x + -19x2 + 4x3 = -4x + 4x + 19x2 + -19x2 + -4x3 + 4x3

Combine like terms: -4x + 4x = 0
1 + X4 + 4x + -19x2 + 4x3 = 0 + 19x2 + -19x2 + -4x3 + 4x3
1 + X4 + 4x + -19x2 + 4x3 = 19x2 + -19x2 + -4x3 + 4x3

Combine like terms: 19x2 + -19x2 = 0
1 + X4 + 4x + -19x2 + 4x3 = 0 + -4x3 + 4x3
1 + X4 + 4x + -19x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
1 + X4 + 4x + -19x2 + 4x3 = 0

The solution to this equation could not be determined.

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