-6x(2x+1)+(13x-7)=0

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Solution for -6x(2x+1)+(13x-7)=0 equation: 


Simplifying
-6x(2x + 1) + (13x + -7) = 0

Reorder the terms:
-6x(1 + 2x) + (13x + -7) = 0
(1 * -6x + 2x * -6x) + (13x + -7) = 0
(-6x + -12x2) + (13x + -7) = 0

Reorder the terms:
-6x + -12x2 + (-7 + 13x) = 0

Remove parenthesis around (-7 + 13x)
-6x + -12x2 + -7 + 13x = 0

Reorder the terms:
-7 + -6x + 13x + -12x2 = 0

Combine like terms: -6x + 13x = 7x
-7 + 7x + -12x2 = 0

Solving
-7 + 7x + -12x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.5833333333 + -0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + -0.5833333333x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + -0.5833333333x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + -0.5833333333x + x2 = 0 + -0.5833333333
-0.5833333333x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
-0.5833333333x + x2 = -0.5833333333

The x term is -0.5833333333x.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333x + 0.08506944446 + x2 = -0.5833333333 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333x + x2 = -0.5833333333 + 0.08506944446

Combine like terms: -0.5833333333 + 0.08506944446 = -0.49826388884
0.08506944446 + -0.5833333333x + x2 = -0.49826388884

Factor a perfect square on the left side:
(x + -0.2916666667)(x + -0.2916666667) = -0.49826388884

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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