0.5k^2+16.5k+30=0

Simple and best practice solution for 0.5k^2+16.5k+30=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 0.5k^2+16.5k+30=0 equation: 


Simplifying
0.5k2 + 16.5k + 30 = 0

Reorder the terms:
30 + 16.5k + 0.5k2 = 0

Solving
30 + 16.5k + 0.5k2 = 0

Solving for variable 'k'.

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

Divide each side by '0.5'.
60 + 33k + k2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + 33k + -60 + k2 = 0 + -60

Reorder the terms:
60 + -60 + 33k + k2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 33k + k2 = 0 + -60
33k + k2 = 0 + -60

Combine like terms: 0 + -60 = -60
33k + k2 = -60

The k term is 33k.  Take half its coefficient (16.5).
Square it (272.25) and add it to both sides.

Add '272.25' to each side of the equation.
33k + 272.25 + k2 = -60 + 272.25

Reorder the terms:
272.25 + 33k + k2 = -60 + 272.25

Combine like terms: -60 + 272.25 = 212.25
272.25 + 33k + k2 = 212.25

Factor a perfect square on the left side:
(k + 16.5)(k + 16.5) = 212.25

Calculate the square root of the right side: 14.568802284

Break this problem into two subproblems by setting 
(k + 16.5) equal to 14.568802284 and -14.568802284.


Subproblem 1
k + 16.5 = 14.568802284

Simplifying
k + 16.5 = 14.568802284

Reorder the terms:
16.5 + k = 14.568802284

Solving
16.5 + k = 14.568802284

Solving for variable 'k'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + k = 14.568802284 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + k = 14.568802284 + -16.5
k = 14.568802284 + -16.5

Combine like terms: 14.568802284 + -16.5 = -1.931197716
k = -1.931197716

Simplifying
k = -1.931197716


Subproblem 2
k + 16.5 = -14.568802284

Simplifying
k + 16.5 = -14.568802284

Reorder the terms:
16.5 + k = -14.568802284

Solving
16.5 + k = -14.568802284

Solving for variable 'k'.

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

Add '-16.5' to each side of the equation.
16.5 + -16.5 + k = -14.568802284 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + k = -14.568802284 + -16.5
k = -14.568802284 + -16.5

Combine like terms: -14.568802284 + -16.5 = -31.068802284
k = -31.068802284

Simplifying
k = -31.068802284


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {-1.931197716, -31.068802284}

See similar equations:

| 7(-7)+5y=-24 | | 2(0)-5(13/2) | | -3m-7=2m+8 | | -5x+3-5x=83 | | 3(5)-2(4)+9z=-20 | | F(4)=-3(4)+4 | | -32+6y=4 | | 12f=60 | | 4(5)-7y=-8 | | -15(2)+14(2)-6z=-20 | | z-5/6=1/3 | | 0.8x+.18-0.4x=.3(x+.2) | | 7(2)+5y=24 | | 3x+4(2x+1)=17+11x | | 14(6)-15(2)-12z=18 | | 5(6)-14y=2 | | 9=-4x+1 | | 4(-5)-9(-2)+6z=22 | | -3(-5)+4y=7 | | 15k+28=0 | | 2-6x^(-1/2)=0 | | 4a-6b-7a+ab= | | 12=7s | | .10m+30=200 | | 35x+50=-15 | | 4=8(x-2)-4x | | 7x-4-5=-33 | | 12(4)+11(-3)+7z=22 | | 4=2+2g | | 5(3x-2)=9x-8 | | -25=4b-8b | | 12(1/3x-3/4) |

Equations solver categories