0=6k^2+k-22

Simple and best practice solution for 0=6k^2+k-22 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 0=6k^2+k-22 equation: 


Simplifying
0 = 6k2 + k + -22

Reorder the terms:
0 = -22 + k + 6k2

Solving
0 = -22 + k + 6k2

Solving for variable 'k'.

Combine like terms: 0 + 22 = 22
22 + -1k + -6k2 = -22 + k + 6k2 + 22 + -1k + -6k2

Reorder the terms:
22 + -1k + -6k2 = -22 + 22 + k + -1k + 6k2 + -6k2

Combine like terms: -22 + 22 = 0
22 + -1k + -6k2 = 0 + k + -1k + 6k2 + -6k2
22 + -1k + -6k2 = k + -1k + 6k2 + -6k2

Combine like terms: k + -1k = 0
22 + -1k + -6k2 = 0 + 6k2 + -6k2
22 + -1k + -6k2 = 6k2 + -6k2

Combine like terms: 6k2 + -6k2 = 0
22 + -1k + -6k2 = 0

Factor a trinomial.
(11 + -6k)(2 + k) = 0


Subproblem 1
Set the factor '(11 + -6k)' equal to zero and attempt to solve:

Simplifying
11 + -6k = 0

Solving
11 + -6k = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6k = 0 + -11
-6k = 0 + -11

Combine like terms: 0 + -11 = -11
-6k = -11

Divide each side by '-6'.
k = 1.833333333

Simplifying
k = 1.833333333

Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {1.833333333, -2}

See similar equations:

| 5x-(x+9)=x-4 | | 108-4f=76 | | 8s^2-88s+144= | | 0.5x^2+4x=0 | | x^2-10x+y^2-2y-17=0 | | 12ab-16+2ab+18= | | 177=.3X | | n-4+1-6n= | | 4x-4+7=-3 | | 5/2=3z/4+1/2 | | 9x-7=2x-84 | | 6x-8=2(3x+4) | | 100=45+1/d | | 16y^2-4=0 | | 5y+14=2(y+1) | | 15x^2+4x-6=0 | | 15+7m=50 | | 15+7m=5 | | 5x(x+9)=x-4 | | 4x(x-9)(x-14)= | | 3/17x=0 | | 9-n+3n= | | 7a-21=5a+9 | | 6x-3x+7=2(x+3)+x+1 | | 17x+9y=27 | | 1m=6-6m | | 6x-8=-6x+64 | | x*15+(x+5)*20=415 | | -16+n/2=35 | | 11(-4)+(-16)(-3)= | | 4(v-7)=9v-13 | | -18r=-54 |

Equations solver categories