x^3+cx+1=0

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

Simplifying
x3 + cx + 1 = 0

Reorder the terms:
1 + cx + x3 = 0

Solving
1 + cx + x3 = 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 + cx + -1 + x3 = 0 + -1

Reorder the terms:
1 + -1 + cx + x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cx + x3 = 0 + -1
cx + x3 = 0 + -1

Combine like terms: 0 + -1 = -1
cx + x3 = -1

Add '-1x3' to each side of the equation.
cx + x3 + -1x3 = -1 + -1x3

Combine like terms: x3 + -1x3 = 0
cx + 0 = -1 + -1x3
cx = -1 + -1x3

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

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