X^4+48x^2-49=0

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Solution for X^4+48x^2-49=0 equation:


Simplifying
X4 + 48x2 + -49 = 0

Reorder the terms:
-49 + X4 + 48x2 = 0

Solving
-49 + X4 + 48x2 = 0

Solving for variable 'X'.

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

Add '49' to each side of the equation.
-49 + X4 + 49 + 48x2 = 0 + 49

Reorder the terms:
-49 + 49 + X4 + 48x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + X4 + 48x2 = 0 + 49
X4 + 48x2 = 0 + 49

Combine like terms: 0 + 49 = 49
X4 + 48x2 = 49

Add '-48x2' to each side of the equation.
X4 + 48x2 + -48x2 = 49 + -48x2

Combine like terms: 48x2 + -48x2 = 0
X4 + 0 = 49 + -48x2
X4 = 49 + -48x2

Simplifying
X4 = 49 + -48x2

Reorder the terms:
-49 + X4 + 48x2 = 49 + -48x2 + -49 + 48x2

Reorder the terms:
-49 + X4 + 48x2 = 49 + -49 + -48x2 + 48x2

Combine like terms: 49 + -49 = 0
-49 + X4 + 48x2 = 0 + -48x2 + 48x2
-49 + X4 + 48x2 = -48x2 + 48x2

Combine like terms: -48x2 + 48x2 = 0
-49 + X4 + 48x2 = 0

Factor a trinomial.
(X2 + -48x)(X2 + -1x) = 0

Subproblem 1

Set the factor '(X2 + -48x)' equal to zero and attempt to solve: Simplifying X2 + -48x = 0 Solving X2 + -48x = 0 Move all terms containing X to the left, all other terms to the right. Add '48x' to each side of the equation. X2 + -48x + 48x = 0 + 48x Combine like terms: -48x + 48x = 0 X2 + 0 = 0 + 48x X2 = 0 + 48x Remove the zero: X2 = 48x Simplifying X2 = 48x 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 + -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. The solution to this equation could not be determined.

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