X^4+x^3-7x^2+6=0

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Solution for X^4+x^3-7x^2+6=0 equation:


Simplifying
X4 + x3 + -7x2 + 6 = 0

Reorder the terms:
6 + X4 + -7x2 + x3 = 0

Solving
6 + X4 + -7x2 + 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 + -7x2 + -6 + x3 = 0 + -6

Reorder the terms:
6 + -6 + X4 + -7x2 + x3 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + X4 + -7x2 + x3 = 0 + -6
X4 + -7x2 + x3 = 0 + -6

Combine like terms: 0 + -6 = -6
X4 + -7x2 + x3 = -6

Add '7x2' to each side of the equation.
X4 + -7x2 + 7x2 + x3 = -6 + 7x2

Combine like terms: -7x2 + 7x2 = 0
X4 + 0 + x3 = -6 + 7x2
X4 + x3 = -6 + 7x2

Add '-1x3' to each side of the equation.
X4 + x3 + -1x3 = -6 + 7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X4 + 0 = -6 + 7x2 + -1x3
X4 = -6 + 7x2 + -1x3

Simplifying
X4 = -6 + 7x2 + -1x3

Reorder the terms:
6 + X4 + -7x2 + x3 = -6 + 7x2 + -1x3 + 6 + -7x2 + x3

Reorder the terms:
6 + X4 + -7x2 + x3 = -6 + 6 + 7x2 + -7x2 + -1x3 + x3

Combine like terms: -6 + 6 = 0
6 + X4 + -7x2 + x3 = 0 + 7x2 + -7x2 + -1x3 + x3
6 + X4 + -7x2 + x3 = 7x2 + -7x2 + -1x3 + x3

Combine like terms: 7x2 + -7x2 = 0
6 + X4 + -7x2 + x3 = 0 + -1x3 + x3
6 + X4 + -7x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
6 + X4 + -7x2 + x3 = 0

The solution to this equation could not be determined.

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