25c^2-60c-36=5c

Solution for 25c^2-60c-36=5c equation:

Simplifying
25c2 + -60c + -36 = 5c

Reorder the terms:
-36 + -60c + 25c2 = 5c

Solving
-36 + -60c + 25c2 = 5c

Solving for variable 'c'.

Reorder the terms:
-36 + -60c + -5c + 25c2 = 5c + -5c

Combine like terms: -60c + -5c = -65c
-36 + -65c + 25c2 = 5c + -5c

Combine like terms: 5c + -5c = 0
-36 + -65c + 25c2 = 0

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

Divide each side by '25'.
-1.44 + -2.6c + c2 = 0

Move the constant term to the right:

Add '1.44' to each side of the equation.
-1.44 + -2.6c + 1.44 + c2 = 0 + 1.44

Reorder the terms:
-1.44 + 1.44 + -2.6c + c2 = 0 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + -2.6c + c2 = 0 + 1.44
-2.6c + c2 = 0 + 1.44

Combine like terms: 0 + 1.44 = 1.44
-2.6c + c2 = 1.44

The c term is -2.6c.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6c + 1.69 + c2 = 1.44 + 1.69

Reorder the terms:
1.69 + -2.6c + c2 = 1.44 + 1.69

Combine like terms: 1.44 + 1.69 = 3.13
1.69 + -2.6c + c2 = 3.13

Factor a perfect square on the left side:
(c + -1.3)(c + -1.3) = 3.13

Calculate the square root of the right side: 1.769180601

Break this problem into two subproblems by setting 
(c + -1.3) equal to 1.769180601 and -1.769180601.

Subproblem 1
c + -1.3 = 1.769180601

Simplifying
c + -1.3 = 1.769180601

Reorder the terms:
-1.3 + c = 1.769180601

Solving
-1.3 + c = 1.769180601

Solving for variable 'c'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + c = 1.769180601 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + c = 1.769180601 + 1.3
c = 1.769180601 + 1.3

Combine like terms: 1.769180601 + 1.3 = 3.069180601
c = 3.069180601

Simplifying
c = 3.069180601

Subproblem 2
c + -1.3 = -1.769180601

Simplifying
c + -1.3 = -1.769180601

Reorder the terms:
-1.3 + c = -1.769180601

Solving
-1.3 + c = -1.769180601

Solving for variable 'c'.

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

Add '1.3' to each side of the equation.
-1.3 + 1.3 + c = -1.769180601 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + c = -1.769180601 + 1.3
c = -1.769180601 + 1.3

Combine like terms: -1.769180601 + 1.3 = -0.469180601
c = -0.469180601

Simplifying
c = -0.469180601

Solution
The solution to the problem is based on the solutions
from the subproblems.
c = {3.069180601, -0.469180601}