-5c(c-2)=20-5c+10

Solution for -5c(c-2)=20-5c+10 equation:

Simplifying
-5c(c + -2) = 20 + -5c + 10

Reorder the terms:
-5c(-2 + c) = 20 + -5c + 10
(-2 * -5c + c * -5c) = 20 + -5c + 10
(10c + -5c2) = 20 + -5c + 10

Reorder the terms:
10c + -5c2 = 20 + 10 + -5c

Combine like terms: 20 + 10 = 30
10c + -5c2 = 30 + -5c

Solving
10c + -5c2 = 30 + -5c

Solving for variable 'c'.

Reorder the terms:
-30 + 10c + 5c + -5c2 = 30 + -5c + -30 + 5c

Combine like terms: 10c + 5c = 15c
-30 + 15c + -5c2 = 30 + -5c + -30 + 5c

Reorder the terms:
-30 + 15c + -5c2 = 30 + -30 + -5c + 5c

Combine like terms: 30 + -30 = 0
-30 + 15c + -5c2 = 0 + -5c + 5c
-30 + 15c + -5c2 = -5c + 5c

Combine like terms: -5c + 5c = 0
-30 + 15c + -5c2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + 3c + -1c2) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + 3c + -1c2)' equal to zero and attempt to solve:

Simplifying
-6 + 3c + -1c2 = 0

Solving
-6 + 3c + -1c2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -3c + c2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3c + -6 + c2 = 0 + -6

Reorder the terms:
6 + -6 + -3c + c2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3c + c2 = 0 + -6
-3c + c2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3c + c2 = -6

The c term is -3c.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3c + 2.25 + c2 = -6 + 2.25

Reorder the terms:
2.25 + -3c + c2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + -3c + c2 = -3.75

Factor a perfect square on the left side:
(c + -1.5)(c + -1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.