X^4-2x^3+10x^2-18x+9=0

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Solution for X^4-2x^3+10x^2-18x+9=0 equation:


Simplifying
X4 + -2x3 + 10x2 + -18x + 9 = 0

Reorder the terms:
9 + X4 + -18x + 10x2 + -2x3 = 0

Solving
9 + X4 + -18x + 10x2 + -2x3 = 0

Solving for variable 'X'.

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

Add '-9' to each side of the equation.
9 + X4 + -18x + 10x2 + -9 + -2x3 = 0 + -9

Reorder the terms:
9 + -9 + X4 + -18x + 10x2 + -2x3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + X4 + -18x + 10x2 + -2x3 = 0 + -9
X4 + -18x + 10x2 + -2x3 = 0 + -9

Combine like terms: 0 + -9 = -9
X4 + -18x + 10x2 + -2x3 = -9

Add '18x' to each side of the equation.
X4 + -18x + 10x2 + 18x + -2x3 = -9 + 18x

Reorder the terms:
X4 + -18x + 18x + 10x2 + -2x3 = -9 + 18x

Combine like terms: -18x + 18x = 0
X4 + 0 + 10x2 + -2x3 = -9 + 18x
X4 + 10x2 + -2x3 = -9 + 18x

Add '-10x2' to each side of the equation.
X4 + 10x2 + -10x2 + -2x3 = -9 + 18x + -10x2

Combine like terms: 10x2 + -10x2 = 0
X4 + 0 + -2x3 = -9 + 18x + -10x2
X4 + -2x3 = -9 + 18x + -10x2

Add '2x3' to each side of the equation.
X4 + -2x3 + 2x3 = -9 + 18x + -10x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
X4 + 0 = -9 + 18x + -10x2 + 2x3
X4 = -9 + 18x + -10x2 + 2x3

Simplifying
X4 = -9 + 18x + -10x2 + 2x3

Reorder the terms:
9 + X4 + -18x + 10x2 + -2x3 = -9 + 18x + -10x2 + 2x3 + 9 + -18x + 10x2 + -2x3

Reorder the terms:
9 + X4 + -18x + 10x2 + -2x3 = -9 + 9 + 18x + -18x + -10x2 + 10x2 + 2x3 + -2x3

Combine like terms: -9 + 9 = 0
9 + X4 + -18x + 10x2 + -2x3 = 0 + 18x + -18x + -10x2 + 10x2 + 2x3 + -2x3
9 + X4 + -18x + 10x2 + -2x3 = 18x + -18x + -10x2 + 10x2 + 2x3 + -2x3

Combine like terms: 18x + -18x = 0
9 + X4 + -18x + 10x2 + -2x3 = 0 + -10x2 + 10x2 + 2x3 + -2x3
9 + X4 + -18x + 10x2 + -2x3 = -10x2 + 10x2 + 2x3 + -2x3

Combine like terms: -10x2 + 10x2 = 0
9 + X4 + -18x + 10x2 + -2x3 = 0 + 2x3 + -2x3
9 + X4 + -18x + 10x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
9 + X4 + -18x + 10x2 + -2x3 = 0

The solution to this equation could not be determined.

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