a^2+b^2+c^2=d^2

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Solution for a^2+b^2+c^2=d^2 equation:


Simplifying
a2 + b2 + c2 = d2

Solving
a2 + b2 + c2 = d2

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 + c2 = -1b2 + d2

Combine like terms: b2 + -1b2 = 0
a2 + 0 + c2 = -1b2 + d2
a2 + c2 = -1b2 + d2

Add '-1c2' to each side of the equation.
a2 + c2 + -1c2 = -1b2 + -1c2 + d2

Combine like terms: c2 + -1c2 = 0
a2 + 0 = -1b2 + -1c2 + d2
a2 = -1b2 + -1c2 + d2

Simplifying
a2 = -1b2 + -1c2 + d2

Reorder the terms:
a2 + b2 + c2 + -1d2 = -1b2 + b2 + -1c2 + c2 + d2 + -1d2

Combine like terms: -1b2 + b2 = 0
a2 + b2 + c2 + -1d2 = 0 + -1c2 + c2 + d2 + -1d2
a2 + b2 + c2 + -1d2 = -1c2 + c2 + d2 + -1d2

Combine like terms: -1c2 + c2 = 0
a2 + b2 + c2 + -1d2 = 0 + d2 + -1d2
a2 + b2 + c2 + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
a2 + b2 + c2 + -1d2 = 0

The solution to this equation could not be determined.

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