((3)(3))+((13)(13))=((c)(c))

Solution for ((3)(3))+((13)(13))=((c)(c)) equation:

Simplifying
((3)(3)) + ((13)(13)) = ((c)(c))

Multiply 3 * 3
(9) + ((13)(13)) = ((c)(c))
9 + ((13)(13)) = ((c)(c))

Multiply 13 * 13
9 + (169) = ((c)(c))
9 + 169 = ((c)(c))

Combine like terms: 9 + 169 = 178
178 = ((c)(c))

Multiply c * c
178 = (c2)
178 = c2

Solving
178 = 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.
178 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
178 + -1c2 = 0

Add '-178' to each side of the equation.
178 + -178 + -1c2 = 0 + -178

Combine like terms: 178 + -178 = 0
0 + -1c2 = 0 + -178
-1c2 = 0 + -178

Combine like terms: 0 + -178 = -178
-1c2 = -178

Divide each side by '-1'.
c2 = 178

Simplifying
c2 = 178

Take the square root of each side:
c = {-13.341664064, 13.341664064}