z^4-25Z^2+144=0

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Solution for z^4-25Z^2+144=0 equation:


Simplifying
z4 + -25Z2 + 144 = 0

Reorder the terms:
144 + -25Z2 + z4 = 0

Solving
144 + -25Z2 + z4 = 0

Solving for variable 'Z'.

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

Add '-144' to each side of the equation.
144 + -25Z2 + -144 + z4 = 0 + -144

Reorder the terms:
144 + -144 + -25Z2 + z4 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -25Z2 + z4 = 0 + -144
-25Z2 + z4 = 0 + -144

Combine like terms: 0 + -144 = -144
-25Z2 + z4 = -144

Add '-1z4' to each side of the equation.
-25Z2 + z4 + -1z4 = -144 + -1z4

Combine like terms: z4 + -1z4 = 0
-25Z2 + 0 = -144 + -1z4
-25Z2 = -144 + -1z4

Divide each side by '-25'.
Z2 = 5.76 + 0.04z4

Simplifying
Z2 = 5.76 + 0.04z4

Reorder the terms:
-5.76 + Z2 + -0.04z4 = 5.76 + 0.04z4 + -5.76 + -0.04z4

Reorder the terms:
-5.76 + Z2 + -0.04z4 = 5.76 + -5.76 + 0.04z4 + -0.04z4

Combine like terms: 5.76 + -5.76 = 0.00
-5.76 + Z2 + -0.04z4 = 0.00 + 0.04z4 + -0.04z4
-5.76 + Z2 + -0.04z4 = 0.04z4 + -0.04z4

Combine like terms: 0.04z4 + -0.04z4 = 0.00
-5.76 + Z2 + -0.04z4 = 0.00

The solution to this equation could not be determined.

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