x+13=3x(-2x)

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Solution for x+13=3x(-2x) equation: 


Simplifying
x + 13 = 3x(-2x)

Reorder the terms:
13 + x = 3x(-2x)

Remove parenthesis around (-2x)
13 + x = 3x * -2x

Reorder the terms for easier multiplication:
13 + x = 3 * -2x * x

Multiply 3 * -2
13 + x = -6x * x

Multiply x * x
13 + x = -6x2

Solving
13 + x = -6x2

Solving for variable 'x'.

Combine like terms: -6x2 + 6x2 = 0
13 + x + 6x2 = 0

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

Divide each side by '6'.
2.166666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + 0.1666666667x + -2.166666667 + x2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + 0.1666666667x + x2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + 0.1666666667x + x2 = 0 + -2.166666667
0.1666666667x + x2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
0.1666666667x + x2 = -2.166666667

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 = -2.166666667 + 0.25

Reorder the terms:
0.25 + 0.1666666667x + x2 = -2.166666667 + 0.25

Combine like terms: -2.166666667 + 0.25 = -1.916666667
0.25 + 0.1666666667x + x2 = -1.916666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.916666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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