4c(6-3c)=92

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Solution for 4c(6-3c)=92 equation: 


Simplifying
4c(6 + -3c) = 92
(6 * 4c + -3c * 4c) = 92
(24c + -12c2) = 92

Solving
24c + -12c2 = 92

Solving for variable 'c'.

Reorder the terms:
-92 + 24c + -12c2 = 92 + -92

Combine like terms: 92 + -92 = 0
-92 + 24c + -12c2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-23 + 6c + -3c2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-23 + 6c + -3c2)' equal to zero and attempt to solve:

Simplifying
-23 + 6c + -3c2 = 0

Solving
-23 + 6c + -3c2 = 0

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

Divide each side by '-3'.
7.666666667 + -2c + c2 = 0

Move the constant term to the right:

Add '-7.666666667' to each side of the equation.
7.666666667 + -2c + -7.666666667 + c2 = 0 + -7.666666667

Reorder the terms:
7.666666667 + -7.666666667 + -2c + c2 = 0 + -7.666666667

Combine like terms: 7.666666667 + -7.666666667 = 0.000000000
0.000000000 + -2c + c2 = 0 + -7.666666667
-2c + c2 = 0 + -7.666666667

Combine like terms: 0 + -7.666666667 = -7.666666667
-2c + c2 = -7.666666667

The c term is -2c.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2c + 1 + c2 = -7.666666667 + 1

Reorder the terms:
1 + -2c + c2 = -7.666666667 + 1

Combine like terms: -7.666666667 + 1 = -6.666666667
1 + -2c + c2 = -6.666666667

Factor a perfect square on the left side:
(c + -1)(c + -1) = -6.666666667

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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