6g(3-3g)=24

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Solution for 6g(3-3g)=24 equation: 


Simplifying
6g(3 + -3g) = 24
(3 * 6g + -3g * 6g) = 24
(18g + -18g2) = 24

Solving
18g + -18g2 = 24

Solving for variable 'g'.

Reorder the terms:
-24 + 18g + -18g2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 18g + -18g2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 3g + -3g2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-4 + 3g + -3g2)' equal to zero and attempt to solve:

Simplifying
-4 + 3g + -3g2 = 0

Solving
-4 + 3g + -3g2 = 0

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

Divide each side by '-3'.
1.333333333 + -1g + g2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1g + -1.333333333 + g2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1g + g2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1g + g2 = 0 + -1.333333333
-1g + g2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1g + g2 = -1.333333333

The g term is -1g.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1g + 0.25 + g2 = -1.333333333 + 0.25

Reorder the terms:
0.25 + -1g + g2 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
0.25 + -1g + g2 = -1.083333333

Factor a perfect square on the left side:
(g + -0.5)(g + -0.5) = -1.083333333

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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