X^2(x^2-x+2)=0

Solution for X^2(x^2-x+2)=0 equation:

Simplifying
X2(x2 + -1x + 2) = 0

Reorder the terms:
X2(2 + -1x + x2) = 0
(2 * X2 + -1x * X2 + x2 * X2) = 0
(2X2 + -1xX2 + x2X2) = 0

Solving
2X2 + -1xX2 + x2X2 = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(2 + -1x + x2) = 0

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}
Subproblem 2
Set the factor '(2 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x + x2 = 0

Solving
2 + -1x + x2 = 0

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

Add '-2' to each side of the equation.
2 + -1x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -1x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + x2 = 0 + -2
-1x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x + x2 = -2

Add 'x' to each side of the equation.
-1x + x + x2 = -2 + x

Combine like terms: -1x + x = 0
0 + x2 = -2 + x
x2 = -2 + x

Add '-1x2' to each side of the equation.
x2 + -1x2 = -2 + x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = -2 + x + -1x2

Simplifying
0 = -2 + x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}