x^4+2a^2-8=0

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Solution for x^4+2a^2-8=0 equation:


Simplifying
x4 + 2a2 + -8 = 0

Reorder the terms:
-8 + 2a2 + x4 = 0

Solving
-8 + 2a2 + x4 = 0

Solving for variable 'a'.

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

Add '8' to each side of the equation.
-8 + 2a2 + 8 + x4 = 0 + 8

Reorder the terms:
-8 + 8 + 2a2 + x4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2a2 + x4 = 0 + 8
2a2 + x4 = 0 + 8

Combine like terms: 0 + 8 = 8
2a2 + x4 = 8

Add '-1x4' to each side of the equation.
2a2 + x4 + -1x4 = 8 + -1x4

Combine like terms: x4 + -1x4 = 0
2a2 + 0 = 8 + -1x4
2a2 = 8 + -1x4

Divide each side by '2'.
a2 = 4 + -0.5x4

Simplifying
a2 = 4 + -0.5x4

Reorder the terms:
-4 + a2 + 0.5x4 = 4 + -0.5x4 + -4 + 0.5x4

Reorder the terms:
-4 + a2 + 0.5x4 = 4 + -4 + -0.5x4 + 0.5x4

Combine like terms: 4 + -4 = 0
-4 + a2 + 0.5x4 = 0 + -0.5x4 + 0.5x4
-4 + a2 + 0.5x4 = -0.5x4 + 0.5x4

Combine like terms: -0.5x4 + 0.5x4 = 0.0
-4 + a2 + 0.5x4 = 0.0

The solution to this equation could not be determined.

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