x^4+4a^2-21=0

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Solution for x^4+4a^2-21=0 equation:


Simplifying
x4 + 4a2 + -21 = 0

Reorder the terms:
-21 + 4a2 + x4 = 0

Solving
-21 + 4a2 + x4 = 0

Solving for variable 'a'.

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

Add '21' to each side of the equation.
-21 + 4a2 + 21 + x4 = 0 + 21

Reorder the terms:
-21 + 21 + 4a2 + x4 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 4a2 + x4 = 0 + 21
4a2 + x4 = 0 + 21

Combine like terms: 0 + 21 = 21
4a2 + x4 = 21

Add '-1x4' to each side of the equation.
4a2 + x4 + -1x4 = 21 + -1x4

Combine like terms: x4 + -1x4 = 0
4a2 + 0 = 21 + -1x4
4a2 = 21 + -1x4

Divide each side by '4'.
a2 = 5.25 + -0.25x4

Simplifying
a2 = 5.25 + -0.25x4

Reorder the terms:
-5.25 + a2 + 0.25x4 = 5.25 + -0.25x4 + -5.25 + 0.25x4

Reorder the terms:
-5.25 + a2 + 0.25x4 = 5.25 + -5.25 + -0.25x4 + 0.25x4

Combine like terms: 5.25 + -5.25 = 0.00
-5.25 + a2 + 0.25x4 = 0.00 + -0.25x4 + 0.25x4
-5.25 + a2 + 0.25x4 = -0.25x4 + 0.25x4

Combine like terms: -0.25x4 + 0.25x4 = 0.00
-5.25 + a2 + 0.25x4 = 0.00

The solution to this equation could not be determined.

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