4x(-6x+2)=23

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Solution for 4x(-6x+2)=23 equation: 


Simplifying
4x(-6x + 2) = 23

Reorder the terms:
4x(2 + -6x) = 23
(2 * 4x + -6x * 4x) = 23
(8x + -24x2) = 23

Solving
8x + -24x2 = 23

Solving for variable 'x'.

Reorder the terms:
-23 + 8x + -24x2 = 23 + -23

Combine like terms: 23 + -23 = 0
-23 + 8x + -24x2 = 0

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
0.9583333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.9583333333' to each side of the equation.
0.9583333333 + -0.3333333333x + -0.9583333333 + x2 = 0 + -0.9583333333

Reorder the terms:
0.9583333333 + -0.9583333333 + -0.3333333333x + x2 = 0 + -0.9583333333

Combine like terms: 0.9583333333 + -0.9583333333 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.9583333333
-0.3333333333x + x2 = 0 + -0.9583333333

Combine like terms: 0 + -0.9583333333 = -0.9583333333
-0.3333333333x + x2 = -0.9583333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.9583333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.9583333333 + 0.02777777779

Combine like terms: -0.9583333333 + 0.02777777779 = -0.93055555551
0.02777777779 + -0.3333333333x + x2 = -0.93055555551

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.93055555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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