4c=0.50(c^2+6+c^2+2)

Solution for 4c=0.50(c^2+6+c^2+2) equation:

Simplifying
4c = 0.50(c2 + 6 + c2 + 2)

Reorder the terms:
4c = 0.50(6 + 2 + c2 + c2)

Combine like terms: 6 + 2 = 8
4c = 0.50(8 + c2 + c2)

Combine like terms: c2 + c2 = 2c2
4c = 0.50(8 + 2c2)
4c = (8 * 0.50 + 2c2 * 0.50)
4c = (4 + 1c2)

Solving
4c = 4 + 1c2

Solving for variable 'c'.

Reorder the terms:
-4 + 4c + -1c2 = 4 + 1c2 + -4 + -1c2

Reorder the terms:
-4 + 4c + -1c2 = 4 + -4 + 1c2 + -1c2

Combine like terms: 4 + -4 = 0
-4 + 4c + -1c2 = 0 + 1c2 + -1c2
-4 + 4c + -1c2 = 1c2 + -1c2

Combine like terms: 1c2 + -1c2 = 0
-4 + 4c + -1c2 = 0

Factor a trinomial.
(-2 + c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-2 + c)' equal to zero and attempt to solve:

Simplifying
-2 + c = 0

Solving
-2 + c = 0

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

Add '2' to each side of the equation.
-2 + 2 + c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + c = 0 + 2
c = 0 + 2

Combine like terms: 0 + 2 = 2
c = 2

Simplifying
c = 2
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {2, 2}