6X^4+11x^3-9x^2-11x+6=0

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Solution for 6X^4+11x^3-9x^2-11x+6=0 equation:


Simplifying
6X4 + 11x3 + -9x2 + -11x + 6 = 0

Reorder the terms:
6 + 6X4 + -11x + -9x2 + 11x3 = 0

Solving
6 + 6X4 + -11x + -9x2 + 11x3 = 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 + 6X4 + -11x + -9x2 + -6 + 11x3 = 0 + -6

Reorder the terms:
6 + -6 + 6X4 + -11x + -9x2 + 11x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 6X4 + -11x + -9x2 + 11x3 = 0 + -6
6X4 + -11x + -9x2 + 11x3 = 0 + -6

Combine like terms: 0 + -6 = -6
6X4 + -11x + -9x2 + 11x3 = -6

Add '11x' to each side of the equation.
6X4 + -11x + -9x2 + 11x + 11x3 = -6 + 11x

Reorder the terms:
6X4 + -11x + 11x + -9x2 + 11x3 = -6 + 11x

Combine like terms: -11x + 11x = 0
6X4 + 0 + -9x2 + 11x3 = -6 + 11x
6X4 + -9x2 + 11x3 = -6 + 11x

Add '9x2' to each side of the equation.
6X4 + -9x2 + 9x2 + 11x3 = -6 + 11x + 9x2

Combine like terms: -9x2 + 9x2 = 0
6X4 + 0 + 11x3 = -6 + 11x + 9x2
6X4 + 11x3 = -6 + 11x + 9x2

Add '-11x3' to each side of the equation.
6X4 + 11x3 + -11x3 = -6 + 11x + 9x2 + -11x3

Combine like terms: 11x3 + -11x3 = 0
6X4 + 0 = -6 + 11x + 9x2 + -11x3
6X4 = -6 + 11x + 9x2 + -11x3

Divide each side by '6'.
X4 = -1 + 1.833333333x + 1.5x2 + -1.833333333x3

Simplifying
X4 = -1 + 1.833333333x + 1.5x2 + -1.833333333x3

Reorder the terms:
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = -1 + 1.833333333x + 1.5x2 + -1.833333333x3 + 1 + -1.833333333x + -1.5x2 + 1.833333333x3

Reorder the terms:
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = -1 + 1 + 1.833333333x + -1.833333333x + 1.5x2 + -1.5x2 + -1.833333333x3 + 1.833333333x3

Combine like terms: -1 + 1 = 0
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 0 + 1.833333333x + -1.833333333x + 1.5x2 + -1.5x2 + -1.833333333x3 + 1.833333333x3
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 1.833333333x + -1.833333333x + 1.5x2 + -1.5x2 + -1.833333333x3 + 1.833333333x3

Combine like terms: 1.833333333x + -1.833333333x = 0.000000000
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 0.000000000 + 1.5x2 + -1.5x2 + -1.833333333x3 + 1.833333333x3
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 1.5x2 + -1.5x2 + -1.833333333x3 + 1.833333333x3

Combine like terms: 1.5x2 + -1.5x2 = 0.0
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 0.0 + -1.833333333x3 + 1.833333333x3
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = -1.833333333x3 + 1.833333333x3

Combine like terms: -1.833333333x3 + 1.833333333x3 = 0.000000000
1 + X4 + -1.833333333x + -1.5x2 + 1.833333333x3 = 0.000000000

The solution to this equation could not be determined.

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