x(2-12x)=4*32000

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Solution for x(2-12x)=4*32000 equation: 


Simplifying
x(2 + -12x) = 4 * 32000
(2 * x + -12x * x) = 4 * 32000
(2x + -12x2) = 4 * 32000

Multiply 4 * 32000
2x + -12x2 = 128000

Solving
2x + -12x2 = 128000

Solving for variable 'x'.

Reorder the terms:
-128000 + 2x + -12x2 = 128000 + -128000

Combine like terms: 128000 + -128000 = 0
-128000 + 2x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-64000 + x + -6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-64000 + x + -6x2)' equal to zero and attempt to solve:

Simplifying
-64000 + x + -6x2 = 0

Solving
-64000 + x + -6x2 = 0

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

Divide each side by '-6'.
10666.66667 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-10666.66667' to each side of the equation.
10666.66667 + -0.1666666667x + -10666.66667 + x2 = 0 + -10666.66667

Reorder the terms:
10666.66667 + -10666.66667 + -0.1666666667x + x2 = 0 + -10666.66667

Combine like terms: 10666.66667 + -10666.66667 = 0.00000
0.00000 + -0.1666666667x + x2 = 0 + -10666.66667
-0.1666666667x + x2 = 0 + -10666.66667

Combine like terms: 0 + -10666.66667 = -10666.66667
-0.1666666667x + x2 = -10666.66667

The x term is x.  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.
-0.1666666667x + 0.25 + x2 = -10666.66667 + 0.25

Reorder the terms:
0.25 + -0.1666666667x + x2 = -10666.66667 + 0.25

Combine like terms: -10666.66667 + 0.25 = -10666.41667
0.25 + -0.1666666667x + x2 = -10666.41667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -10666.41667

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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