(12*12)+(16*16)=(c*c)

Solution for (12*12)+(16*16)=(c*c) equation:

Simplifying
(12 * 12) + (16 * 16) = (c * c)

Multiply 12 * 12
(144) + (16 * 16) = (c * c)
144 + (16 * 16) = (c * c)

Multiply 16 * 16
144 + (256) = (c * c)
144 + 256 = (c * c)

Combine like terms: 144 + 256 = 400
400 = (c * c)

Multiply c * c
400 = (c2)
400 = c2

Solving
400 = 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.
400 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
400 + -1c2 = 0

Add '-400' to each side of the equation.
400 + -400 + -1c2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -1c2 = 0 + -400
-1c2 = 0 + -400

Combine like terms: 0 + -400 = -400
-1c2 = -400

Divide each side by '-1'.
c2 = 400

Simplifying
c2 = 400

Take the square root of each side:
c = {-20, 20}