X^4-4x^3+10x^2-14x+25=0

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Solution for X^4-4x^3+10x^2-14x+25=0 equation:


Simplifying
X4 + -4x3 + 10x2 + -14x + 25 = 0

Reorder the terms:
25 + X4 + -14x + 10x2 + -4x3 = 0

Solving
25 + X4 + -14x + 10x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + X4 + -14x + 10x2 + -25 + -4x3 = 0 + -25

Reorder the terms:
25 + -25 + X4 + -14x + 10x2 + -4x3 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + X4 + -14x + 10x2 + -4x3 = 0 + -25
X4 + -14x + 10x2 + -4x3 = 0 + -25

Combine like terms: 0 + -25 = -25
X4 + -14x + 10x2 + -4x3 = -25

Add '14x' to each side of the equation.
X4 + -14x + 10x2 + 14x + -4x3 = -25 + 14x

Reorder the terms:
X4 + -14x + 14x + 10x2 + -4x3 = -25 + 14x

Combine like terms: -14x + 14x = 0
X4 + 0 + 10x2 + -4x3 = -25 + 14x
X4 + 10x2 + -4x3 = -25 + 14x

Add '-10x2' to each side of the equation.
X4 + 10x2 + -10x2 + -4x3 = -25 + 14x + -10x2

Combine like terms: 10x2 + -10x2 = 0
X4 + 0 + -4x3 = -25 + 14x + -10x2
X4 + -4x3 = -25 + 14x + -10x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -25 + 14x + -10x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -25 + 14x + -10x2 + 4x3
X4 = -25 + 14x + -10x2 + 4x3

Simplifying
X4 = -25 + 14x + -10x2 + 4x3

Reorder the terms:
25 + X4 + -14x + 10x2 + -4x3 = -25 + 14x + -10x2 + 4x3 + 25 + -14x + 10x2 + -4x3

Reorder the terms:
25 + X4 + -14x + 10x2 + -4x3 = -25 + 25 + 14x + -14x + -10x2 + 10x2 + 4x3 + -4x3

Combine like terms: -25 + 25 = 0
25 + X4 + -14x + 10x2 + -4x3 = 0 + 14x + -14x + -10x2 + 10x2 + 4x3 + -4x3
25 + X4 + -14x + 10x2 + -4x3 = 14x + -14x + -10x2 + 10x2 + 4x3 + -4x3

Combine like terms: 14x + -14x = 0
25 + X4 + -14x + 10x2 + -4x3 = 0 + -10x2 + 10x2 + 4x3 + -4x3
25 + X4 + -14x + 10x2 + -4x3 = -10x2 + 10x2 + 4x3 + -4x3

Combine like terms: -10x2 + 10x2 = 0
25 + X4 + -14x + 10x2 + -4x3 = 0 + 4x3 + -4x3
25 + X4 + -14x + 10x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
25 + X4 + -14x + 10x2 + -4x3 = 0

The solution to this equation could not be determined.

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