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

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


Simplifying
X4 + -2x3 + x2 + 14x + 10 = 0

Reorder the terms:
10 + X4 + 14x + x2 + -2x3 = 0

Solving
10 + X4 + 14x + x2 + -2x3 = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X4 + 14x + x2 + -10 + -2x3 = 0 + -10

Reorder the terms:
10 + -10 + X4 + 14x + x2 + -2x3 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + X4 + 14x + x2 + -2x3 = 0 + -10
X4 + 14x + x2 + -2x3 = 0 + -10

Combine like terms: 0 + -10 = -10
X4 + 14x + x2 + -2x3 = -10

Add '-14x' to each side of the equation.
X4 + 14x + x2 + -14x + -2x3 = -10 + -14x

Reorder the terms:
X4 + 14x + -14x + x2 + -2x3 = -10 + -14x

Combine like terms: 14x + -14x = 0
X4 + 0 + x2 + -2x3 = -10 + -14x
X4 + x2 + -2x3 = -10 + -14x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + -2x3 = -10 + -14x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + -2x3 = -10 + -14x + -1x2
X4 + -2x3 = -10 + -14x + -1x2

Add '2x3' to each side of the equation.
X4 + -2x3 + 2x3 = -10 + -14x + -1x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
X4 + 0 = -10 + -14x + -1x2 + 2x3
X4 = -10 + -14x + -1x2 + 2x3

Simplifying
X4 = -10 + -14x + -1x2 + 2x3

Reorder the terms:
10 + X4 + 14x + x2 + -2x3 = -10 + -14x + -1x2 + 2x3 + 10 + 14x + x2 + -2x3

Reorder the terms:
10 + X4 + 14x + x2 + -2x3 = -10 + 10 + -14x + 14x + -1x2 + x2 + 2x3 + -2x3

Combine like terms: -10 + 10 = 0
10 + X4 + 14x + x2 + -2x3 = 0 + -14x + 14x + -1x2 + x2 + 2x3 + -2x3
10 + X4 + 14x + x2 + -2x3 = -14x + 14x + -1x2 + x2 + 2x3 + -2x3

Combine like terms: -14x + 14x = 0
10 + X4 + 14x + x2 + -2x3 = 0 + -1x2 + x2 + 2x3 + -2x3
10 + X4 + 14x + x2 + -2x3 = -1x2 + x2 + 2x3 + -2x3

Combine like terms: -1x2 + x2 = 0
10 + X4 + 14x + x2 + -2x3 = 0 + 2x3 + -2x3
10 + X4 + 14x + x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
10 + X4 + 14x + x2 + -2x3 = 0

The solution to this equation could not be determined.

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