2x(3x-6)+5x+14=

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Solution for 2x(3x-6)+5x+14= equation: 


Simplifying
2x(3x + -6) + 5x + 14 = 0

Reorder the terms:
2x(-6 + 3x) + 5x + 14 = 0
(-6 * 2x + 3x * 2x) + 5x + 14 = 0
(-12x + 6x2) + 5x + 14 = 0

Reorder the terms:
14 + -12x + 5x + 6x2 = 0

Combine like terms: -12x + 5x = -7x
14 + -7x + 6x2 = 0

Solving
14 + -7x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.333333333 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.166666667x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.166666667x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.166666667x + x2 = 0 + -2.333333333
-1.166666667x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.166666667x + x2 = -2.333333333

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -2.333333333 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -2.333333333 + 0.3402777780

Combine like terms: -2.333333333 + 0.3402777780 = -1.993055555
0.3402777780 + -1.166666667x + x2 = -1.993055555

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -1.993055555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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