z^4-5x^2+4=0

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


Simplifying
z4 + -5x2 + 4 = 0

Reorder the terms:
4 + -5x2 + z4 = 0

Solving
4 + -5x2 + z4 = 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 + -5x2 + -4 + z4 = 0 + -4

Reorder the terms:
4 + -4 + -5x2 + z4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x2 + z4 = 0 + -4
-5x2 + z4 = 0 + -4

Combine like terms: 0 + -4 = -4
-5x2 + z4 = -4

Add '-1z4' to each side of the equation.
-5x2 + z4 + -1z4 = -4 + -1z4

Combine like terms: z4 + -1z4 = 0
-5x2 + 0 = -4 + -1z4
-5x2 = -4 + -1z4

Divide each side by '-5'.
x2 = 0.8 + 0.2z4

Simplifying
x2 = 0.8 + 0.2z4

Reorder the terms:
-0.8 + x2 + -0.2z4 = 0.8 + 0.2z4 + -0.8 + -0.2z4

Reorder the terms:
-0.8 + x2 + -0.2z4 = 0.8 + -0.8 + 0.2z4 + -0.2z4

Combine like terms: 0.8 + -0.8 = 0.0
-0.8 + x2 + -0.2z4 = 0.0 + 0.2z4 + -0.2z4
-0.8 + x2 + -0.2z4 = 0.2z4 + -0.2z4

Combine like terms: 0.2z4 + -0.2z4 = 0.0
-0.8 + x2 + -0.2z4 = 0.0

The solution to this equation could not be determined.

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