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

Simple and best practice solution for 6x(2x+1)=7x-4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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.

See similar equations:

| R^3+r^2+8r+8=0 | | 4a-3a+6a=21 | | 3.7x+1.2=6 | | -5y-16=-12y+7 | | 4x-x+1=22 | | 9+x=40 | | 40+x=9 | | 2m+1=13 | | 8x=-2x+60 | | 6x-7y=-9 | | 7n-8=41 | | -24=-2+6 | | 36+x=15 | | 3y+6=9-2y | | 5x=-2x+56 | | 3a+6=36 | | 5x=2x+56 | | 6/7-3/10 | | 35.50+4.25n=24.25+5.50n | | 9x(x-8)+5= | | -10/-3 | | 3x+2x=10x | | 5+x=1 | | 3x^2+9-17=0 | | x/-9=34 | | 9x-21=4x | | x=15+36 | | 0.5+8x=-7 | | 3x-10=-91 | | x+3=-10/3x | | 2x^2+20x=-2 | | x/20=0.08 |

Equations solver categories