2c(3c-4)=-4c-4

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


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

Reorder the terms:
2c(-4 + 3c) = -4c + -4
(-4 * 2c + 3c * 2c) = -4c + -4
(-8c + 6c2) = -4c + -4

Reorder the terms:
-8c + 6c2 = -4 + -4c

Solving
-8c + 6c2 = -4 + -4c

Solving for variable 'c'.

Reorder the terms:
4 + -8c + 4c + 6c2 = -4 + -4c + 4 + 4c

Combine like terms: -8c + 4c = -4c
4 + -4c + 6c2 = -4 + -4c + 4 + 4c

Reorder the terms:
4 + -4c + 6c2 = -4 + 4 + -4c + 4c

Combine like terms: -4 + 4 = 0
4 + -4c + 6c2 = 0 + -4c + 4c
4 + -4c + 6c2 = -4c + 4c

Combine like terms: -4c + 4c = 0
4 + -4c + 6c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -2c + 3c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -2c + 3c2)' equal to zero and attempt to solve:

Simplifying
2 + -2c + 3c2 = 0

Solving
2 + -2c + 3c2 = 0

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

Divide each side by '3'.
0.6666666667 + -0.6666666667c + c2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.6666666667c + -0.6666666667 + c2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.6666666667c + c2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.6666666667c + c2 = 0 + -0.6666666667
-0.6666666667c + c2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.6666666667c + c2 = -0.6666666667

The c term is -0.6666666667c.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667c + 0.1111111112 + c2 = -0.6666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667c + c2 = -0.6666666667 + 0.1111111112

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + -0.6666666667c + c2 = -0.5555555555

Factor a perfect square on the left side:
(c + -0.3333333334)(c + -0.3333333334) = -0.5555555555

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.

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