X^4+2x^3-6x^2+18x-135=0

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Solution for X^4+2x^3-6x^2+18x-135=0 equation:


Simplifying
X4 + 2x3 + -6x2 + 18x + -135 = 0

Reorder the terms:
-135 + X4 + 18x + -6x2 + 2x3 = 0

Solving
-135 + X4 + 18x + -6x2 + 2x3 = 0

Solving for variable 'X'.

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

Add '135' to each side of the equation.
-135 + X4 + 18x + -6x2 + 135 + 2x3 = 0 + 135

Reorder the terms:
-135 + 135 + X4 + 18x + -6x2 + 2x3 = 0 + 135

Combine like terms: -135 + 135 = 0
0 + X4 + 18x + -6x2 + 2x3 = 0 + 135
X4 + 18x + -6x2 + 2x3 = 0 + 135

Combine like terms: 0 + 135 = 135
X4 + 18x + -6x2 + 2x3 = 135

Add '-18x' to each side of the equation.
X4 + 18x + -6x2 + -18x + 2x3 = 135 + -18x

Reorder the terms:
X4 + 18x + -18x + -6x2 + 2x3 = 135 + -18x

Combine like terms: 18x + -18x = 0
X4 + 0 + -6x2 + 2x3 = 135 + -18x
X4 + -6x2 + 2x3 = 135 + -18x

Add '6x2' to each side of the equation.
X4 + -6x2 + 6x2 + 2x3 = 135 + -18x + 6x2

Combine like terms: -6x2 + 6x2 = 0
X4 + 0 + 2x3 = 135 + -18x + 6x2
X4 + 2x3 = 135 + -18x + 6x2

Add '-2x3' to each side of the equation.
X4 + 2x3 + -2x3 = 135 + -18x + 6x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X4 + 0 = 135 + -18x + 6x2 + -2x3
X4 = 135 + -18x + 6x2 + -2x3

Simplifying
X4 = 135 + -18x + 6x2 + -2x3

Reorder the terms:
-135 + X4 + 18x + -6x2 + 2x3 = 135 + -18x + 6x2 + -2x3 + -135 + 18x + -6x2 + 2x3

Reorder the terms:
-135 + X4 + 18x + -6x2 + 2x3 = 135 + -135 + -18x + 18x + 6x2 + -6x2 + -2x3 + 2x3

Combine like terms: 135 + -135 = 0
-135 + X4 + 18x + -6x2 + 2x3 = 0 + -18x + 18x + 6x2 + -6x2 + -2x3 + 2x3
-135 + X4 + 18x + -6x2 + 2x3 = -18x + 18x + 6x2 + -6x2 + -2x3 + 2x3

Combine like terms: -18x + 18x = 0
-135 + X4 + 18x + -6x2 + 2x3 = 0 + 6x2 + -6x2 + -2x3 + 2x3
-135 + X4 + 18x + -6x2 + 2x3 = 6x2 + -6x2 + -2x3 + 2x3

Combine like terms: 6x2 + -6x2 = 0
-135 + X4 + 18x + -6x2 + 2x3 = 0 + -2x3 + 2x3
-135 + X4 + 18x + -6x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-135 + X4 + 18x + -6x2 + 2x3 = 0

The solution to this equation could not be determined.

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