5x(3-6x)-4x=8

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Solution for 5x(3-6x)-4x=8 equation:


Simplifying
5x(3 + -6x) + -4x = 8
(3 * 5x + -6x * 5x) + -4x = 8
(15x + -30x2) + -4x = 8

Reorder the terms:
15x + -4x + -30x2 = 8

Combine like terms: 15x + -4x = 11x
11x + -30x2 = 8

Solving
11x + -30x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + 11x + -30x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 11x + -30x2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.2666666667 + -0.3666666667x + x2 = 0.0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.3666666667x + -0.2666666667 + x2 = 0.0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.3666666667x + x2 = 0.0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.3666666667x + x2 = 0.0 + -0.2666666667
-0.3666666667x + x2 = 0.0 + -0.2666666667

Combine like terms: 0.0 + -0.2666666667 = -0.2666666667
-0.3666666667x + x2 = -0.2666666667

The x term is -0.3666666667x.  Take half its coefficient (-0.1833333334).
Square it (0.03361111114) and add it to both sides.

Add '0.03361111114' to each side of the equation.
-0.3666666667x + 0.03361111114 + x2 = -0.2666666667 + 0.03361111114

Reorder the terms:
0.03361111114 + -0.3666666667x + x2 = -0.2666666667 + 0.03361111114

Combine like terms: -0.2666666667 + 0.03361111114 = -0.23305555556
0.03361111114 + -0.3666666667x + x2 = -0.23305555556

Factor a perfect square on the left side:
(x + -0.1833333334)(x + -0.1833333334) = -0.23305555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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