X^4-2X^2-3=-3

Solution for X^4-2X^2-3=-3 equation:

Simplifying
X4 + -2X2 + -3 = -3

Reorder the terms:
-3 + -2X2 + X4 = -3

Add '3' to each side of the equation.
-3 + -2X2 + 3 + X4 = -3 + 3

Reorder the terms:
-3 + 3 + -2X2 + X4 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + -2X2 + X4 = -3 + 3
-2X2 + X4 = -3 + 3

Combine like terms: -3 + 3 = 0
-2X2 + X4 = 0

Solving
-2X2 + X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-2 + 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 + X2)' equal to zero and attempt to solve:

Simplifying
-2 + X2 = 0

Solving
-2 + 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 + 2 + X2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + X2 = 0 + 2
X2 = 0 + 2

Combine like terms: 0 + 2 = 2
X2 = 2

Simplifying
X2 = 2

Take the square root of each side:
X = {-1.414213562, 1.414213562}
Solution
X = {0, -1.414213562, 1.414213562}