a^2+b^2=-c^2+20

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Solution for a^2+b^2=-c^2+20 equation:


Simplifying
a2 + b2 = -1c2 + 20

Reorder the terms:
a2 + b2 = 20 + -1c2

Solving
a2 + b2 = 20 + -1c2

Solving for variable 'a'.

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

Add '-1b2' to each side of the equation.
a2 + b2 + -1b2 = 20 + -1b2 + -1c2

Combine like terms: b2 + -1b2 = 0
a2 + 0 = 20 + -1b2 + -1c2
a2 = 20 + -1b2 + -1c2

Simplifying
a2 = 20 + -1b2 + -1c2

Reorder the terms:
-20 + a2 + b2 + c2 = 20 + -1b2 + -1c2 + -20 + b2 + c2

Reorder the terms:
-20 + a2 + b2 + c2 = 20 + -20 + -1b2 + b2 + -1c2 + c2

Combine like terms: 20 + -20 = 0
-20 + a2 + b2 + c2 = 0 + -1b2 + b2 + -1c2 + c2
-20 + a2 + b2 + c2 = -1b2 + b2 + -1c2 + c2

Combine like terms: -1b2 + b2 = 0
-20 + a2 + b2 + c2 = 0 + -1c2 + c2
-20 + a2 + b2 + c2 = -1c2 + c2

Combine like terms: -1c2 + c2 = 0
-20 + a2 + b2 + c2 = 0

The solution to this equation could not be determined.

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