X^4+x^3-11x^2-9x+18=0

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Solution for X^4+x^3-11x^2-9x+18=0 equation:


Simplifying
X4 + x3 + -11x2 + -9x + 18 = 0

Reorder the terms:
18 + X4 + -9x + -11x2 + x3 = 0

Solving
18 + X4 + -9x + -11x2 + x3 = 0

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + X4 + -9x + -11x2 + -18 + x3 = 0 + -18

Reorder the terms:
18 + -18 + X4 + -9x + -11x2 + x3 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + X4 + -9x + -11x2 + x3 = 0 + -18
X4 + -9x + -11x2 + x3 = 0 + -18

Combine like terms: 0 + -18 = -18
X4 + -9x + -11x2 + x3 = -18

Add '9x' to each side of the equation.
X4 + -9x + -11x2 + 9x + x3 = -18 + 9x

Reorder the terms:
X4 + -9x + 9x + -11x2 + x3 = -18 + 9x

Combine like terms: -9x + 9x = 0
X4 + 0 + -11x2 + x3 = -18 + 9x
X4 + -11x2 + x3 = -18 + 9x

Add '11x2' to each side of the equation.
X4 + -11x2 + 11x2 + x3 = -18 + 9x + 11x2

Combine like terms: -11x2 + 11x2 = 0
X4 + 0 + x3 = -18 + 9x + 11x2
X4 + x3 = -18 + 9x + 11x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = -18 + 9x + 11x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = -18 + 9x + 11x2 + -1x3
X4 = -18 + 9x + 11x2 + -1x3

Simplifying
X4 = -18 + 9x + 11x2 + -1x3

Reorder the terms:
18 + X4 + -9x + -11x2 + x3 = -18 + 9x + 11x2 + -1x3 + 18 + -9x + -11x2 + x3

Reorder the terms:
18 + X4 + -9x + -11x2 + x3 = -18 + 18 + 9x + -9x + 11x2 + -11x2 + -1x3 + x3

Combine like terms: -18 + 18 = 0
18 + X4 + -9x + -11x2 + x3 = 0 + 9x + -9x + 11x2 + -11x2 + -1x3 + x3
18 + X4 + -9x + -11x2 + x3 = 9x + -9x + 11x2 + -11x2 + -1x3 + x3

Combine like terms: 9x + -9x = 0
18 + X4 + -9x + -11x2 + x3 = 0 + 11x2 + -11x2 + -1x3 + x3
18 + X4 + -9x + -11x2 + x3 = 11x2 + -11x2 + -1x3 + x3

Combine like terms: 11x2 + -11x2 = 0
18 + X4 + -9x + -11x2 + x3 = 0 + -1x3 + x3
18 + X4 + -9x + -11x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
18 + X4 + -9x + -11x2 + x3 = 0

The solution to this equation could not be determined.

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