((5)(5))+((4)(4))=((c)(c))

Solution for ((5)(5))+((4)(4))=((c)(c)) equation:

Simplifying
((5)(5)) + ((4)(4)) = ((c)(c))

Multiply 5 * 5
(25) + ((4)(4)) = ((c)(c))
25 + ((4)(4)) = ((c)(c))

Multiply 4 * 4
25 + (16) = ((c)(c))
25 + 16 = ((c)(c))

Combine like terms: 25 + 16 = 41
41 = ((c)(c))

Multiply c * c
41 = (c2)
41 = c2

Solving
41 = 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.
41 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
41 + -1c2 = 0

Add '-41' to each side of the equation.
41 + -41 + -1c2 = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -1c2 = 0 + -41
-1c2 = 0 + -41

Combine like terms: 0 + -41 = -41
-1c2 = -41

Divide each side by '-1'.
c2 = 41

Simplifying
c2 = 41

Take the square root of each side:
c = {-6.403124237, 6.403124237}