-2k^2+16k+24=0

Simple and best practice solution for -2k^2+16k+24=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 -2k^2+16k+24=0 equation: 


Simplifying
-2k2 + 16k + 24 = 0

Reorder the terms:
24 + 16k + -2k2 = 0

Solving
24 + 16k + -2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 8k + -1k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + 8k + -1k2)' equal to zero and attempt to solve:

Simplifying
12 + 8k + -1k2 = 0

Solving
12 + 8k + -1k2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-12 + -8k + k2 = 0

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -8k + 12 + k2 = 0 + 12

Reorder the terms:
-12 + 12 + -8k + k2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -8k + k2 = 0 + 12
-8k + k2 = 0 + 12

Combine like terms: 0 + 12 = 12
-8k + k2 = 12

The k term is -8k.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8k + 16 + k2 = 12 + 16

Reorder the terms:
16 + -8k + k2 = 12 + 16

Combine like terms: 12 + 16 = 28
16 + -8k + k2 = 28

Factor a perfect square on the left side:
(k + -4)(k + -4) = 28

Calculate the square root of the right side: 5.291502622

Break this problem into two subproblems by setting 
(k + -4) equal to 5.291502622 and -5.291502622.


Subproblem 1
k + -4 = 5.291502622

Simplifying
k + -4 = 5.291502622

Reorder the terms:
-4 + k = 5.291502622

Solving
-4 + k = 5.291502622

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + 4 + k = 5.291502622 + 4

Combine like terms: -4 + 4 = 0
0 + k = 5.291502622 + 4
k = 5.291502622 + 4

Combine like terms: 5.291502622 + 4 = 9.291502622
k = 9.291502622

Simplifying
k = 9.291502622


Subproblem 2
k + -4 = -5.291502622

Simplifying
k + -4 = -5.291502622

Reorder the terms:
-4 + k = -5.291502622

Solving
-4 + k = -5.291502622

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + 4 + k = -5.291502622 + 4

Combine like terms: -4 + 4 = 0
0 + k = -5.291502622 + 4
k = -5.291502622 + 4

Combine like terms: -5.291502622 + 4 = -1.291502622
k = -1.291502622

Simplifying
k = -1.291502622


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {9.291502622, -1.291502622}
Solution
k = {9.291502622, -1.291502622}

See similar equations:

| 6y+5=-59-10y | | 2-(2x-5)=x+(3x+3) | | 34-5y=14-10y | | 7(m-2)=3(2m+1) | | 8y+25=2y+97 | | y-4=3/4y | | X^2+4y^2-2x+8y=9 | | 13(x-4)-3(x-9)-5(x+4)=0 | | X^2-8p+21=6 | | x=p*(1-p) | | 6y+7=-33-4y | | 4(3x-8)+16=2 | | 76=-v+249 | | 6=-4y+2(y+4) | | 10+3y=y+6 | | 3m+6=10m | | 2=44-x | | 4(3x-8)+16=12 | | 5y-1=12y-29 | | -7x+3y=9 | | 3.14(r)2*7= | | 6y+29=16y-91 | | 10x^2-9=449 | | 4y^2+23y+15=0 | | (b+8)(6-2b)= | | 4x-5=14-3x | | 3y-6=y+2 | | (-2x-4)(8x+3)= | | 3=-3y+36 | | 9(x+10)+3=5(1+x) | | 3=-3y+26 | | 9=8/4x |

Equations solver categories