5x(3x-1)=x-4

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


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

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

Reorder the terms:
-5x + 15x2 = -4 + x

Solving
-5x + 15x2 = -4 + x

Solving for variable 'x'.

Reorder the terms:
4 + -5x + -1x + 15x2 = -4 + x + 4 + -1x

Combine like terms: -5x + -1x = -6x
4 + -6x + 15x2 = -4 + x + 4 + -1x

Reorder the terms:
4 + -6x + 15x2 = -4 + 4 + x + -1x

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

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

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

Divide each side by '15'.
0.2666666667 + -0.4x + x2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.4x + -0.2666666667 + x2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.4x + x2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.4x + x2 = 0 + -0.2666666667
-0.4x + x2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.4x + x2 = -0.2666666667

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.2666666667 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.2666666667 + 0.04

Combine like terms: -0.2666666667 + 0.04 = -0.2266666667
0.04 + -0.4x + x2 = -0.2266666667

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = -0.2266666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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