6x(2x+1)=7x-4

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Solution for 6x(2x+1)=7x-4 equation: 


Simplifying
6x(2x + 1) = 7x + -4

Reorder the terms:
6x(1 + 2x) = 7x + -4
(1 * 6x + 2x * 6x) = 7x + -4
(6x + 12x2) = 7x + -4

Reorder the terms:
6x + 12x2 = -4 + 7x

Solving
6x + 12x2 = -4 + 7x

Solving for variable 'x'.

Reorder the terms:
4 + 6x + -7x + 12x2 = -4 + 7x + 4 + -7x

Combine like terms: 6x + -7x = -1x
4 + -1x + 12x2 = -4 + 7x + 4 + -7x

Reorder the terms:
4 + -1x + 12x2 = -4 + 4 + 7x + -7x

Combine like terms: -4 + 4 = 0
4 + -1x + 12x2 = 0 + 7x + -7x
4 + -1x + 12x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
4 + -1x + 12x2 = 0

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

Divide each side by '12'.
0.3333333333 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.08333333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.08333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.08333333333x + x2 = 0 + -0.3333333333
-0.08333333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.08333333333x + x2 = -0.3333333333

The x term is -0.08333333333x.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333x + 0.001736111111 + x2 = -0.3333333333 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -0.3333333333 + 0.001736111111

Combine like terms: -0.3333333333 + 0.001736111111 = -0.331597222189
0.001736111111 + -0.08333333333x + x2 = -0.331597222189

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -0.331597222189

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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