32=.5c*c

Solution for 32=.5c*c equation:

Simplifying
32 = 0.5c * c

Multiply c * c
32 = 0.5c2

Solving
32 = 0.5c2

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-0.5c2' to each side of the equation.
32 + -0.5c2 = 0.5c2 + -0.5c2

Combine like terms: 0.5c2 + -0.5c2 = 0.0
32 + -0.5c2 = 0.0

Add '-32' to each side of the equation.
32 + -32 + -0.5c2 = 0.0 + -32

Combine like terms: 32 + -32 = 0
0 + -0.5c2 = 0.0 + -32
-0.5c2 = 0.0 + -32

Combine like terms: 0.0 + -32 = -32
-0.5c2 = -32

Divide each side by '-0.5'.
c2 = 64

Simplifying
c2 = 64

Take the square root of each side:
c = {-8, 8}