6k^2+11k-4=0

Simple and best practice solution for 6k^2+11k-4=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 6k^2+11k-4=0 equation: 


Simplifying
6k2 + 11k + -4 = 0

Reorder the terms:
-4 + 11k + 6k2 = 0

Solving
-4 + 11k + 6k2 = 0

Solving for variable 'k'.

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

Divide each side by '6'.
-0.6666666667 + 1.833333333k + k2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 1.833333333k + 0.6666666667 + k2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 1.833333333k + k2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 1.833333333k + k2 = 0 + 0.6666666667
1.833333333k + k2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
1.833333333k + k2 = 0.6666666667

The k term is 1.833333333k.  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.
1.833333333k + 0.8402777775 + k2 = 0.6666666667 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333k + k2 = 0.6666666667 + 0.8402777775

Combine like terms: 0.6666666667 + 0.8402777775 = 1.5069444442
0.8402777775 + 1.833333333k + k2 = 1.5069444442

Factor a perfect square on the left side:
(k + 0.9166666665)(k + 0.9166666665) = 1.5069444442

Calculate the square root of the right side: 1.227576655

Break this problem into two subproblems by setting 
(k + 0.9166666665) equal to 1.227576655 and -1.227576655.


Subproblem 1
k + 0.9166666665 = 1.227576655

Simplifying
k + 0.9166666665 = 1.227576655

Reorder the terms:
0.9166666665 + k = 1.227576655

Solving
0.9166666665 + k = 1.227576655

Solving for variable 'k'.

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

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + k = 1.227576655 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + k = 1.227576655 + -0.9166666665
k = 1.227576655 + -0.9166666665

Combine like terms: 1.227576655 + -0.9166666665 = 0.3109099885
k = 0.3109099885

Simplifying
k = 0.3109099885


Subproblem 2
k + 0.9166666665 = -1.227576655

Simplifying
k + 0.9166666665 = -1.227576655

Reorder the terms:
0.9166666665 + k = -1.227576655

Solving
0.9166666665 + k = -1.227576655

Solving for variable 'k'.

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

Add '-0.9166666665' to each side of the equation.
0.9166666665 + -0.9166666665 + k = -1.227576655 + -0.9166666665

Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000
0.0000000000 + k = -1.227576655 + -0.9166666665
k = -1.227576655 + -0.9166666665

Combine like terms: -1.227576655 + -0.9166666665 = -2.1442433215
k = -2.1442433215

Simplifying
k = -2.1442433215


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {0.3109099885, -2.1442433215}

See similar equations:

| 4-y=-2y+11 | | 6k^2+11k-4=6 | | 6x+3+2x+8=29 | | 3(2x+5)-4=-10 | | P-(-16)=9 | | f(-3+x)=7-6x | | 2x+5-4=-10 | | f(a)=7-6x | | 1x^2= | | 4x+12=6-2x | | 2x+5=6x-43 | | -18x+2y=-14 | | 7-6(3+x)= | | -5y=13-2(2) | | -5y=13-2(0) | | z*z*z+3z+1= | | 6i(4-6i)=0 | | 9+6*x=51 | | -5y=13-2(-2) | | 3*3w-2*4= | | 3x-4=10x+5 | | 5*x^4+3*x^2+2=0 | | 3x*2y*2y= | | x*x+x*x+x= | | 5m*2n= | | -17+[9x-12-(7-11x)]=24-[-3x-(16+7x)] | | 2t*4v= | | 23x-19y=-13 | | 7=2z^2-3z | | 2x+1+3x=16 | | 2x+1+3=16 | | y^2=4x^2-1 |

Equations solver categories