X^4-5x^2=-4

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Solution for X^4-5x^2=-4 equation: 


Simplifying
X4 + -5x2 = -4

Solving
X4 + -5x2 = -4

Solving for variable 'X'.

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

Add '5x2' to each side of the equation.
X4 + -5x2 + 5x2 = -4 + 5x2

Combine like terms: -5x2 + 5x2 = 0
X4 + 0 = -4 + 5x2
X4 = -4 + 5x2

Simplifying
X4 = -4 + 5x2

Reorder the terms:
4 + X4 + -5x2 = -4 + 5x2 + 4 + -5x2

Reorder the terms:
4 + X4 + -5x2 = -4 + 4 + 5x2 + -5x2

Combine like terms: -4 + 4 = 0
4 + X4 + -5x2 = 0 + 5x2 + -5x2
4 + X4 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4 + X4 + -5x2 = 0

Factor a trinomial.
(X2 + -1x)(X2 + 5x) = 0


Subproblem 1
Set the factor '(X2 + -1x)' equal to zero and attempt to solve:

Simplifying
X2 + -1x = 0

Solving
X2 + -1x = 0

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

Add 'x' to each side of the equation.
X2 + -1x + x = 0 + x

Combine like terms: -1x + x = 0
X2 + 0 = 0 + x
X2 = 0 + x
Remove the zero:
X2 = x

Simplifying
X2 = x

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(X2 + 5x)' equal to zero and attempt to solve:

Simplifying
X2 + 5x = 0

Solving
X2 + 5x = 0

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

Add '-5x' to each side of the equation.
X2 + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
X2 + 0 = 0 + -5x
X2 = 0 + -5x
Remove the zero:
X2 = -5x

Simplifying
X2 = -5x

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.

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