2k^2-16k-44=0

Simple and best practice solution for 2k^2-16k-44=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-44=0 equation: 


Simplifying
2k2 + -16k + -44 = 0

Reorder the terms:
-44 + -16k + 2k2 = 0

Solving
-44 + -16k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-22 + -8k + k2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-22 + -8k + k2)' equal to zero and attempt to solve:

Simplifying
-22 + -8k + k2 = 0

Solving
-22 + -8k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + -8k + 22 + k2 = 0 + 22

Reorder the terms:
-22 + 22 + -8k + k2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -8k + k2 = 0 + 22
-8k + k2 = 0 + 22

Combine like terms: 0 + 22 = 22
-8k + k2 = 22

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 = 22 + 16

Reorder the terms:
16 + -8k + k2 = 22 + 16

Combine like terms: 22 + 16 = 38
16 + -8k + k2 = 38

Factor a perfect square on the left side:
(k + -4)(k + -4) = 38

Calculate the square root of the right side: 6.164414003

Break this problem into two subproblems by setting 
(k + -4) equal to 6.164414003 and -6.164414003.


Subproblem 1
k + -4 = 6.164414003

Simplifying
k + -4 = 6.164414003

Reorder the terms:
-4 + k = 6.164414003

Solving
-4 + k = 6.164414003

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 = 6.164414003 + 4

Combine like terms: -4 + 4 = 0
0 + k = 6.164414003 + 4
k = 6.164414003 + 4

Combine like terms: 6.164414003 + 4 = 10.164414003
k = 10.164414003

Simplifying
k = 10.164414003


Subproblem 2
k + -4 = -6.164414003

Simplifying
k + -4 = -6.164414003

Reorder the terms:
-4 + k = -6.164414003

Solving
-4 + k = -6.164414003

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 = -6.164414003 + 4

Combine like terms: -4 + 4 = 0
0 + k = -6.164414003 + 4
k = -6.164414003 + 4

Combine like terms: -6.164414003 + 4 = -2.164414003
k = -2.164414003

Simplifying
k = -2.164414003


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {10.164414003, -2.164414003}
Solution
k = {10.164414003, -2.164414003}

See similar equations:

| -3x-1+8x-3=6x+7-5x | | 7x-126=45-2x | | 17+b=5-3b | | 87.8-38.1= | | 3h-4k=35 | | x=5x-4+6x-2 | | 2/3x+1/9=1/3 | | 8x+11=-7+4(2x+1) | | 7=-4(-1)+b | | 5(-3-4)=-155 | | 2/3x+1/3=1/3 | | 4-8(2+3x)=-60 | | 4n-7=3n | | 7=6x-4x+7 | | 70+32+14=H | | x+20+x+210-3x=180 | | 8x+11=7+4(2x+1) | | x+2/9=2/3 | | .25*1+y=1 | | -5x-5=-2+4x | | 7m-35=5+2b | | (N-9)7=28 | | (x+1)-2(1-x)=11 | | -2(t+4.6667)=9.5 | | -6n-20=-2n+41-3n | | 9(n-4)=27 | | 4(2x+3)=2x+12+6x | | 4x-2x-x+9=45 | | (N-5)6=42 | | 15x+7-2x=-9 | | 5x^2*5x^6*5x= | | .25x+y=1 |

Equations solver categories