4x(3-6x)=92

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


Simplifying
4x(3 + -6x) = 92
(3 * 4x + -6x * 4x) = 92
(12x + -24x2) = 92

Solving
12x + -24x2 = 92

Solving for variable 'x'.

Reorder the terms:
-92 + 12x + -24x2 = 92 + -92

Combine like terms: 92 + -92 = 0
-92 + 12x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-23 + 3x + -6x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-23 + 3x + -6x2)' equal to zero and attempt to solve:

Simplifying
-23 + 3x + -6x2 = 0

Solving
-23 + 3x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
3.833333333 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3.833333333' to each side of the equation.
3.833333333 + -0.5x + -3.833333333 + x2 = 0 + -3.833333333

Reorder the terms:
3.833333333 + -3.833333333 + -0.5x + x2 = 0 + -3.833333333

Combine like terms: 3.833333333 + -3.833333333 = 0.000000000
0.000000000 + -0.5x + x2 = 0 + -3.833333333
-0.5x + x2 = 0 + -3.833333333

Combine like terms: 0 + -3.833333333 = -3.833333333
-0.5x + x2 = -3.833333333

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -3.833333333 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3.833333333 + 0.0625

Combine like terms: -3.833333333 + 0.0625 = -3.770833333
0.0625 + -0.5x + x2 = -3.770833333

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.770833333

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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