6x^2+11x+2=0

Simple and best practice solution for 6x^2+11x+2=0 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^2+11x+2=0 equation: 


Simplifying
6x2 + 11x + 2 = 0

Reorder the terms:
2 + 11x + 6x2 = 0

Solving
2 + 11x + 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'.
0.3333333333 + 1.833333333x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 1.833333333x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 1.833333333x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 1.833333333x + x2 = 0 + -0.3333333333
1.833333333x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
1.833333333x + x2 = -0.3333333333

The x term is 1.833333333x.  Take half its coefficient (0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
1.833333333x + 0.8402777775 + x2 = -0.3333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333x + x2 = -0.3333333333 + 0.8402777775

Combine like terms: -0.3333333333 + 0.8402777775 = 0.5069444442
0.8402777775 + 1.833333333x + x2 = 0.5069444442

Factor a perfect square on the left side:
(x + 0.9166666665)(x + 0.9166666665) = 0.5069444442

Calculate the square root of the right side: 0.712000312

Break this problem into two subproblems by setting 
(x + 0.9166666665) equal to 0.712000312 and -0.712000312.


Subproblem 1
x + 0.9166666665 = 0.712000312

Simplifying
x + 0.9166666665 = 0.712000312

Reorder the terms:
0.9166666665 + x = 0.712000312

Solving
0.9166666665 + x = 0.712000312

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + x = 0.712000312 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + x = 0.712000312 + -0.9166666665
x = 0.712000312 + -0.9166666665

Combine like terms: 0.712000312 + -0.9166666665 = -0.2046663545
x = -0.2046663545

Simplifying
x = -0.2046663545


Subproblem 2
x + 0.9166666665 = -0.712000312

Simplifying
x + 0.9166666665 = -0.712000312

Reorder the terms:
0.9166666665 + x = -0.712000312

Solving
0.9166666665 + x = -0.712000312

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + x = -0.712000312 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + x = -0.712000312 + -0.9166666665
x = -0.712000312 + -0.9166666665

Combine like terms: -0.712000312 + -0.9166666665 = -1.6286669785
x = -1.6286669785

Simplifying
x = -1.6286669785


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.2046663545, -1.6286669785}

See similar equations:

| m^2+2m^2=0 | | -[9x-(2x+6)]=-3-[4(3x-3)-3x] | | 4x+16=10x-10 | | 21m^3n^4-35m^2n^3+7m^2n^2=0 | | 4x-4=-6+3x | | 14=-2(4x-5) | | 6(6m-2)-5m=143 | | 7x-30-3x=18 | | 21m^3n^4-35m^2n^3+7m^2n^2= | | 22=-6n | | x-1-1=-x+4 | | -8*-1= | | n-5n=8 | | 5+8x=6x+1 | | 3-(-n)=-1 | | 2.5c-17=139 | | 3x^2-37xy+70y^2= | | 5-6(m+3)=2m-11 | | (w-8)(w-1)=0 | | 20-8y+3=-129 | | 2x^2+16x+32=0 | | 5y-2=28-1y | | -1y=30 | | 8-1x=x+12-1x | | -2x^2+18x-36=0 | | 8-1=x+12-1x | | h=-.05t^2+3t | | 4x^3+12x+3=0 | | 3y^2+4y+6=0 | | (2m^3-2m+m^2+1)= | | m+8=4+m+2m+12 | | 5y^2+40y=0 |

Equations solver categories