x^4-x^3+cx^2-x+1=0

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Solution for x^4-x^3+cx^2-x+1=0 equation:


Simplifying
x4 + -1x3 + cx2 + -1x + 1 = 0

Reorder the terms:
1 + cx2 + -1x + -1x3 + x4 = 0

Solving
1 + cx2 + -1x + -1x3 + x4 = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + cx2 + -1x + -1x3 + -1 + x4 = 0 + -1

Reorder the terms:
1 + -1 + cx2 + -1x + -1x3 + x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cx2 + -1x + -1x3 + x4 = 0 + -1
cx2 + -1x + -1x3 + x4 = 0 + -1

Combine like terms: 0 + -1 = -1
cx2 + -1x + -1x3 + x4 = -1

Add 'x' to each side of the equation.
cx2 + -1x + -1x3 + x + x4 = -1 + x

Reorder the terms:
cx2 + -1x + x + -1x3 + x4 = -1 + x

Combine like terms: -1x + x = 0
cx2 + 0 + -1x3 + x4 = -1 + x
cx2 + -1x3 + x4 = -1 + x

Add 'x3' to each side of the equation.
cx2 + -1x3 + x3 + x4 = -1 + x + x3

Combine like terms: -1x3 + x3 = 0
cx2 + 0 + x4 = -1 + x + x3
cx2 + x4 = -1 + x + x3

Add '-1x4' to each side of the equation.
cx2 + x4 + -1x4 = -1 + x + x3 + -1x4

Combine like terms: x4 + -1x4 = 0
cx2 + 0 = -1 + x + x3 + -1x4
cx2 = -1 + x + x3 + -1x4

Divide each side by 'x2'.
c = -1x-2 + x-1 + x + -1x2

Simplifying
c = -1x-2 + x-1 + x + -1x2

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