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

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

Simplifying
x = x3 + 4x2 + x + -6

Reorder the terms:
x = -6 + x + 4x2 + x3

Add '-1x' to each side of the equation.
x + -1x = -6 + x + 4x2 + -1x + x3

Combine like terms: x + -1x = 0
0 = -6 + x + 4x2 + -1x + x3

Reorder the terms:
0 = -6 + x + -1x + 4x2 + x3

Combine like terms: x + -1x = 0
0 = -6 + 0 + 4x2 + x3
0 = -6 + 4x2 + x3

Solving
0 = -6 + 4x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -4x2 + -1x3 = -6 + 4x2 + x3 + 6 + -4x2 + -1x3

Reorder the terms:
6 + -4x2 + -1x3 = -6 + 6 + 4x2 + -4x2 + x3 + -1x3

Combine like terms: -6 + 6 = 0
6 + -4x2 + -1x3 = 0 + 4x2 + -4x2 + x3 + -1x3
6 + -4x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4x2 + -4x2 = 0
6 + -4x2 + -1x3 = 0 + x3 + -1x3
6 + -4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
6 + -4x2 + -1x3 = 0

The solution to this equation could not be determined.