5c(c-2)=4-2c

Solution for 5c(c-2)=4-2c equation:

Simplifying
5c(c + -2) = 4 + -2c

Reorder the terms:
5c(-2 + c) = 4 + -2c
(-2 * 5c + c * 5c) = 4 + -2c
(-10c + 5c2) = 4 + -2c

Solving
-10c + 5c2 = 4 + -2c

Solving for variable 'c'.

Reorder the terms:
-4 + -10c + 2c + 5c2 = 4 + -2c + -4 + 2c

Combine like terms: -10c + 2c = -8c
-4 + -8c + 5c2 = 4 + -2c + -4 + 2c

Reorder the terms:
-4 + -8c + 5c2 = 4 + -4 + -2c + 2c

Combine like terms: 4 + -4 = 0
-4 + -8c + 5c2 = 0 + -2c + 2c
-4 + -8c + 5c2 = -2c + 2c

Combine like terms: -2c + 2c = 0
-4 + -8c + 5c2 = 0

Factor a trinomial.
(-2 + -5c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-2 + -5c)' equal to zero and attempt to solve:

Simplifying
-2 + -5c = 0

Solving
-2 + -5c = 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 + -5c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5c = 0 + 2
-5c = 0 + 2

Combine like terms: 0 + 2 = 2
-5c = 2

Divide each side by '-5'.
c = -0.4

Simplifying
c = -0.4
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 = {-0.4, 2}