6x-3x(5x+2)=4(1-x)

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Solution for 6x-3x(5x+2)=4(1-x) equation: 


Simplifying
6x + -3x(5x + 2) = 4(1 + -1x)

Reorder the terms:
6x + -3x(2 + 5x) = 4(1 + -1x)
6x + (2 * -3x + 5x * -3x) = 4(1 + -1x)
6x + (-6x + -15x2) = 4(1 + -1x)

Combine like terms: 6x + -6x = 0
0 + -15x2 = 4(1 + -1x)
-15x2 = 4(1 + -1x)
-15x2 = (1 * 4 + -1x * 4)
-15x2 = (4 + -4x)

Solving
-15x2 = 4 + -4x

Solving for variable 'x'.

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

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

Combine like terms: 4 + -4 = 0
-4 + 4x + -15x2 = 0 + -4x + 4x
-4 + 4x + -15x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 4x + -15x2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.2666666667 + -0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.2666666667x + -0.2666666667 + x2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.2666666667x + x2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.2666666667x + x2 = 0 + -0.2666666667
-0.2666666667x + x2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.2666666667x + x2 = -0.2666666667

The x term is -0.2666666667x.  Take half its coefficient (-0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
-0.2666666667x + 0.01777777780 + x2 = -0.2666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x + x2 = -0.2666666667 + 0.01777777780

Combine like terms: -0.2666666667 + 0.01777777780 = -0.2488888889
0.01777777780 + -0.2666666667x + x2 = -0.2488888889

Factor a perfect square on the left side:
(x + -0.1333333334)(x + -0.1333333334) = -0.2488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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