5(5)+8(8)=c^2

Solution for 5(5)+8(8)=c^2 equation:

Simplifying
5(5) + 8(8) = c2

Multiply 5 * 5
25 + 8(8) = c2

Multiply 8 * 8
25 + 64 = c2

Combine like terms: 25 + 64 = 89
89 = c2

Solving
89 = 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.
89 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
89 + -1c2 = 0

Add '-89' to each side of the equation.
89 + -89 + -1c2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + -1c2 = 0 + -89
-1c2 = 0 + -89

Combine like terms: 0 + -89 = -89
-1c2 = -89

Divide each side by '-1'.
c2 = 89

Simplifying
c2 = 89

Take the square root of each side:
c = {-9.433981132, 9.433981132}