6*6+8*8=c*c

Solution for 6*6+8*8=c*c equation:

Simplifying
6 * 6 + 8 * 8 = c * c

Multiply 6 * 6
36 + 8 * 8 = c * c

Multiply 8 * 8
36 + 64 = c * c

Combine like terms: 36 + 64 = 100
100 = c * c

Multiply c * c
100 = c2

Solving
100 = 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.
100 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
100 + -1c2 = 0

Add '-100' to each side of the equation.
100 + -100 + -1c2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1c2 = 0 + -100
-1c2 = 0 + -100

Combine like terms: 0 + -100 = -100
-1c2 = -100

Divide each side by '-1'.
c2 = 100

Simplifying
c2 = 100

Take the square root of each side:
c = {-10, 10}