15c-4c(3c+2)=13

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Solution for 15c-4c(3c+2)=13 equation: 


Simplifying
15c + -4c(3c + 2) = 13

Reorder the terms:
15c + -4c(2 + 3c) = 13
15c + (2 * -4c + 3c * -4c) = 13
15c + (-8c + -12c2) = 13

Combine like terms: 15c + -8c = 7c
7c + -12c2 = 13

Solving
7c + -12c2 = 13

Solving for variable 'c'.

Reorder the terms:
-13 + 7c + -12c2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + 7c + -12c2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
1.083333333 + -0.5833333333c + c2 = 0

Move the constant term to the right:

Add '-1.083333333' to each side of the equation.
1.083333333 + -0.5833333333c + -1.083333333 + c2 = 0 + -1.083333333

Reorder the terms:
1.083333333 + -1.083333333 + -0.5833333333c + c2 = 0 + -1.083333333

Combine like terms: 1.083333333 + -1.083333333 = 0.000000000
0.000000000 + -0.5833333333c + c2 = 0 + -1.083333333
-0.5833333333c + c2 = 0 + -1.083333333

Combine like terms: 0 + -1.083333333 = -1.083333333
-0.5833333333c + c2 = -1.083333333

The c term is -0.5833333333c.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333c + 0.08506944446 + c2 = -1.083333333 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333c + c2 = -1.083333333 + 0.08506944446

Combine like terms: -1.083333333 + 0.08506944446 = -0.99826388854
0.08506944446 + -0.5833333333c + c2 = -0.99826388854

Factor a perfect square on the left side:
(c + -0.2916666667)(c + -0.2916666667) = -0.99826388854

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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