1-x^3-3x^2+x^3=-11

Solution for 1-x^3-3x^2+x^3=-11 equation:

Simplifying
1 + -1x3 + -3x2 + x3 = -11

Reorder the terms:
1 + -3x2 + -1x3 + x3 = -11

Combine like terms: -1x3 + x3 = 0
1 + -3x2 + 0 = -11
1 + -3x2 = -11

Solving
1 + -3x2 = -11

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -3x2 = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -3x2 = -11 + -1
-3x2 = -11 + -1

Combine like terms: -11 + -1 = -12
-3x2 = -12

Divide each side by '-3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}