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

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

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

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

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

Combine like terms: 25 + 25 = 50
50 = (c)(c)

Multiply c * c
50 = c2

Solving
50 = 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.
50 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
50 + -1c2 = 0

Add '-50' to each side of the equation.
50 + -50 + -1c2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1c2 = 0 + -50
-1c2 = 0 + -50

Combine like terms: 0 + -50 = -50
-1c2 = -50

Divide each side by '-1'.
c2 = 50

Simplifying
c2 = 50

Take the square root of each side:
c = {-7.071067812, 7.071067812}