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

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


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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = 6 + -2x + -2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = 6 + -2x + -2x2 + -1x3
X4 = 6 + -2x + -2x2 + -1x3

Simplifying
X4 = 6 + -2x + -2x2 + -1x3

Reorder the terms:
-6 + X4 + 2x + 2x2 + x3 = 6 + -2x + -2x2 + -1x3 + -6 + 2x + 2x2 + x3

Reorder the terms:
-6 + X4 + 2x + 2x2 + x3 = 6 + -6 + -2x + 2x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: 6 + -6 = 0
-6 + X4 + 2x + 2x2 + x3 = 0 + -2x + 2x + -2x2 + 2x2 + -1x3 + x3
-6 + X4 + 2x + 2x2 + x3 = -2x + 2x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x + 2x = 0
-6 + X4 + 2x + 2x2 + x3 = 0 + -2x2 + 2x2 + -1x3 + x3
-6 + X4 + 2x + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x2 + 2x2 = 0
-6 + X4 + 2x + 2x2 + x3 = 0 + -1x3 + x3
-6 + X4 + 2x + 2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-6 + X4 + 2x + 2x2 + x3 = 0

The solution to this equation could not be determined.

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