10(10)+24(24)=c^2

Solution for 10(10)+24(24)=c^2 equation:

Simplifying
10(10) + 24(24) = c2

Multiply 10 * 10
100 + 24(24) = c2

Multiply 24 * 24
100 + 576 = c2

Combine like terms: 100 + 576 = 676
676 = c2

Solving
676 = 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.
676 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
676 + -1c2 = 0

Add '-676' to each side of the equation.
676 + -676 + -1c2 = 0 + -676

Combine like terms: 676 + -676 = 0
0 + -1c2 = 0 + -676
-1c2 = 0 + -676

Combine like terms: 0 + -676 = -676
-1c2 = -676

Divide each side by '-1'.
c2 = 676

Simplifying
c2 = 676

Take the square root of each side:
c = {-26, 26}