f(0)=x^3+x^2+1

Solution for f(0)=x^3+x^2+1 equation:

Simplifying
f(0) = x3 + x2 + 1

Reorder the terms for easier multiplication:
0f = x3 + x2 + 1

Anything times zero is zero.
0f = x3 + x2 + 1

Reorder the terms:
0 = 1 + x2 + x3

Solving
0 = 1 + x2 + x3

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + x2 + x3) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + x2 + x3)' equal to zero and attempt to solve:

Simplifying
1 + x2 + x3 = 0

Solving
1 + x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.