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 = 1.6286669785
x = 1.6286669785

Simplifying
x = 1.6286669785


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 = 0.2046663545
x = 0.2046663545

Simplifying
x = 0.2046663545


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

See similar equations:

| ln(x)-ln(x-7)=ln(2) | | ln(x)-ln(x-7)=ln(2) | | 30r^2-13r-3=0 | | 30t^2-49t+20=0 | | 589270957349857476-4= | | 12x^2+5-23x=0 | | 3(4x+5)=63 | | 5x^2-6x+4=0 | | 3a+8=20 | | 2a+9=17 | | a+1=4 | | X(3)=12 | | 16x-8y=64 | | 4(3q+7)=7 | | 7x+38=-4 | | 11(16-g)=22 | | f=-2f-9 | | -84-8x=9x+18 | | 156-7x=29x+24 | | 145-6x=3x+10 | | 8f=-2f-10 | | 9x=125 | | 2a+12=6 | | 7x=-64 | | 7x+32=-32 | | x=5000 | | a+6=4 | | x=2100 | | 12+56= | | 6=9x | | 0=9x-6 | | -16=8x |

Equations solver categories