(8.5*8.5)+(8.5*8.5)=(c*c)

Solution for (8.5*8.5)+(8.5*8.5)=(c*c) equation:

Simplifying
(8.5 * 8.5) + (8.5 * 8.5) = (c * c)

Multiply 8.5 * 8.5
(72.25) + (8.5 * 8.5) = (c * c)
72.25 + (8.5 * 8.5) = (c * c)

Multiply 8.5 * 8.5
72.25 + (72.25) = (c * c)
72.25 + 72.25 = (c * c)

Combine like terms: 72.25 + 72.25 = 144.5
144.5 = (c * c)

Multiply c * c
144.5 = (c2)
144.5 = c2

Solving
144.5 = 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.
144.5 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
144.5 + -1c2 = 0

Add '-144.5' to each side of the equation.
144.5 + -144.5 + -1c2 = 0 + -144.5

Combine like terms: 144.5 + -144.5 = 0.0
0.0 + -1c2 = 0 + -144.5
-1c2 = 0 + -144.5

Combine like terms: 0 + -144.5 = -144.5
-1c2 = -144.5

Divide each side by '-1'.
c2 = 144.5

Simplifying
c2 = 144.5

Take the square root of each side:
c = {-12.02081528, 12.02081528}