X^4-5x^2-4=0

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Solution for X^4-5x^2-4=0 equation:


Simplifying
X4 + -5x2 + -4 = 0

Reorder the terms:
-4 + X4 + -5x2 = 0

Solving
-4 + X4 + -5x2 = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + X4 + 4 + -5x2 = 0 + 4

Reorder the terms:
-4 + 4 + X4 + -5x2 = 0 + 4

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

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

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 + -5x)(X2 + x) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(X2 + x)' equal to zero and attempt to solve: Simplifying X2 + x = 0 Solving X2 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X2 + 0 = 0 + -1x X2 = 0 + -1x Remove the zero: X2 = -1x Simplifying X2 = -1x 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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