((12)(12))+((17)(17))=((c)(c))

Solution for ((12)(12))+((17)(17))=((c)(c)) equation:

Simplifying
((12)(12)) + ((17)(17)) = ((c)(c))

Multiply 12 * 12
(144) + ((17)(17)) = ((c)(c))
144 + ((17)(17)) = ((c)(c))

Multiply 17 * 17
144 + (289) = ((c)(c))
144 + 289 = ((c)(c))

Combine like terms: 144 + 289 = 433
433 = ((c)(c))

Multiply c * c
433 = (c2)
433 = c2

Solving
433 = c2

Solving for variable 'c'.

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

Add '-1c2' to each side of the equation.
433 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
433 + -1c2 = 0

Add '-433' to each side of the equation.
433 + -433 + -1c2 = 0 + -433

Combine like terms: 433 + -433 = 0
0 + -1c2 = 0 + -433
-1c2 = 0 + -433

Combine like terms: 0 + -433 = -433
-1c2 = -433

Divide each side by '-1'.
c2 = 433

Simplifying
c2 = 433

Take the square root of each side:
c = {-20.808652047, 20.808652047}