2c(c+3)=c-13

Solution for 2c(c+3)=c-13 equation:

Simplifying
2c(c + 3) = c + -13

Reorder the terms:
2c(3 + c) = c + -13
(3 * 2c + c * 2c) = c + -13
(6c + 2c2) = c + -13

Reorder the terms:
6c + 2c2 = -13 + c

Solving
6c + 2c2 = -13 + c

Solving for variable 'c'.

Reorder the terms:
13 + 6c + -1c + 2c2 = -13 + c + 13 + -1c

Combine like terms: 6c + -1c = 5c
13 + 5c + 2c2 = -13 + c + 13 + -1c

Reorder the terms:
13 + 5c + 2c2 = -13 + 13 + c + -1c

Combine like terms: -13 + 13 = 0
13 + 5c + 2c2 = 0 + c + -1c
13 + 5c + 2c2 = c + -1c

Combine like terms: c + -1c = 0
13 + 5c + 2c2 = 0

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

Divide each side by '2'.
6.5 + 2.5c + c2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + 2.5c + -6.5 + c2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + 2.5c + c2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 2.5c + c2 = 0 + -6.5
2.5c + c2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
2.5c + c2 = -6.5

The c term is 2.5c.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5c + 1.5625 + c2 = -6.5 + 1.5625

Reorder the terms:
1.5625 + 2.5c + c2 = -6.5 + 1.5625

Combine like terms: -6.5 + 1.5625 = -4.9375
1.5625 + 2.5c + c2 = -4.9375

Factor a perfect square on the left side:
(c + 1.25)(c + 1.25) = -4.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.