16k^2-8k-4=0

Simple and best practice solution for 16k^2-8k-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 16k^2-8k-4=0 equation: 


Simplifying
16k2 + -8k + -4 = 0

Reorder the terms:
-4 + -8k + 16k2 = 0

Solving
-4 + -8k + 16k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -2k + 4k2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -2k + 4k2)' equal to zero and attempt to solve:

Simplifying
-1 + -2k + 4k2 = 0

Solving
-1 + -2k + 4k2 = 0

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

Divide each side by '4'.
-0.25 + -0.5k + k2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + -0.5k + 0.25 + k2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + -0.5k + k2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + -0.5k + k2 = 0 + 0.25
-0.5k + k2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
-0.5k + k2 = 0.25

The k term is -0.5k.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5k + 0.0625 + k2 = 0.25 + 0.0625

Reorder the terms:
0.0625 + -0.5k + k2 = 0.25 + 0.0625

Combine like terms: 0.25 + 0.0625 = 0.3125
0.0625 + -0.5k + k2 = 0.3125

Factor a perfect square on the left side:
(k + -0.25)(k + -0.25) = 0.3125

Calculate the square root of the right side: 0.559016994

Break this problem into two subproblems by setting 
(k + -0.25) equal to 0.559016994 and -0.559016994.


Subproblem 1
k + -0.25 = 0.559016994

Simplifying
k + -0.25 = 0.559016994

Reorder the terms:
-0.25 + k = 0.559016994

Solving
-0.25 + k = 0.559016994

Solving for variable 'k'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + k = 0.559016994 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + k = 0.559016994 + 0.25
k = 0.559016994 + 0.25

Combine like terms: 0.559016994 + 0.25 = 0.809016994
k = 0.809016994

Simplifying
k = 0.809016994


Subproblem 2
k + -0.25 = -0.559016994

Simplifying
k + -0.25 = -0.559016994

Reorder the terms:
-0.25 + k = -0.559016994

Solving
-0.25 + k = -0.559016994

Solving for variable 'k'.

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + k = -0.559016994 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + k = -0.559016994 + 0.25
k = -0.559016994 + 0.25

Combine like terms: -0.559016994 + 0.25 = -0.309016994
k = -0.309016994

Simplifying
k = -0.309016994


Solution
The solution to the problem is based on the solutions
from the subproblems.
k = {0.809016994, -0.309016994}
Solution
k = {0.809016994, -0.309016994}

See similar equations:

| 6x-9=x | | (t+3)(t+8)=t(t-5)+168 | | 4b-6=12+2b | | 2x-6=8x*6 | | s(x)=1.5-4 | | 3m+6=0.25(12m+24) | | (n+7)(n+2)-n(n+5)=66 | | g(x)=1.5x+7 | | 3x+8=-9x-10x | | y-1=2(x-3) | | x-8+3=15 | | -6x+6=-7 | | -5xy+7x*(3y-2x)+4x*3x= | | s+2s+s+26=74 | | -4=7u-13 | | s+s+s+26=74 | | 10-4(p+7)=2(p-p) | | (x-1)(2x+5)(3x-1)=0 | | 6x+16=8x+3 | | 2w+4+2w=40 | | 10x-11=8x | | 10+4x=3(x-6) | | 14n-8=(4n-5) | | -4+6-7=9 | | 2z+4=z-1 | | f(y)=y^2-9y | | 4x^2+12x+6= | | 25y+15x= | | 4c+18d= | | 35-14m= | | 4y+2=-4 | | 9a+21b= |

Equations solver categories