6x(3-4x)=92

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


Simplifying
6x(3 + -4x) = 92
(3 * 6x + -4x * 6x) = 92
(18x + -24x2) = 92

Solving
18x + -24x2 = 92

Solving for variable 'x'.

Reorder the terms:
-92 + 18x + -24x2 = 92 + -92

Combine like terms: 92 + -92 = 0
-92 + 18x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-46 + 9x + -12x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-46 + 9x + -12x2)' equal to zero and attempt to solve:

Simplifying
-46 + 9x + -12x2 = 0

Solving
-46 + 9x + -12x2 = 0

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

Divide each side by '-12'.
3.833333333 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-3.833333333' to each side of the equation.
3.833333333 + -0.75x + -3.833333333 + x2 = 0 + -3.833333333

Reorder the terms:
3.833333333 + -3.833333333 + -0.75x + x2 = 0 + -3.833333333

Combine like terms: 3.833333333 + -3.833333333 = 0.000000000
0.000000000 + -0.75x + x2 = 0 + -3.833333333
-0.75x + x2 = 0 + -3.833333333

Combine like terms: 0 + -3.833333333 = -3.833333333
-0.75x + x2 = -3.833333333

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -3.833333333 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -3.833333333 + 0.140625

Combine like terms: -3.833333333 + 0.140625 = -3.692708333
0.140625 + -0.75x + x2 = -3.692708333

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -3.692708333

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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