3x(2x-9)+6x=-19

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Solution for 3x(2x-9)+6x=-19 equation: 


Simplifying
3x(2x + -9) + 6x = -19

Reorder the terms:
3x(-9 + 2x) + 6x = -19
(-9 * 3x + 2x * 3x) + 6x = -19
(-27x + 6x2) + 6x = -19

Reorder the terms:
-27x + 6x + 6x2 = -19

Combine like terms: -27x + 6x = -21x
-21x + 6x2 = -19

Solving
-21x + 6x2 = -19

Solving for variable 'x'.

Reorder the terms:
19 + -21x + 6x2 = -19 + 19

Combine like terms: -19 + 19 = 0
19 + -21x + 6x2 = 0

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

Divide each side by '6'.
3.166666667 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-3.166666667' to each side of the equation.
3.166666667 + -3.5x + -3.166666667 + x2 = 0 + -3.166666667

Reorder the terms:
3.166666667 + -3.166666667 + -3.5x + x2 = 0 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + -3.5x + x2 = 0 + -3.166666667
-3.5x + x2 = 0 + -3.166666667

Combine like terms: 0 + -3.166666667 = -3.166666667
-3.5x + x2 = -3.166666667

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -3.166666667 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -3.166666667 + 3.0625

Combine like terms: -3.166666667 + 3.0625 = -0.104166667
3.0625 + -3.5x + x2 = -0.104166667

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -0.104166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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