8k(4k-4)=-5k

Simple and best practice solution for 8k(4k-4)=-5k 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 8k(4k-4)=-5k equation: 


Simplifying
8k(4k + -4) = -5k

Reorder the terms:
8k(-4 + 4k) = -5k
(-4 * 8k + 4k * 8k) = -5k
(-32k + 32k2) = -5k

Solving
-32k + 32k2 = -5k

Solving for variable 'k'.

Reorder the terms:
-32k + 5k + 32k2 = -5k + 5k

Combine like terms: -32k + 5k = -27k
-27k + 32k2 = -5k + 5k

Combine like terms: -5k + 5k = 0
-27k + 32k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-27 + 32k) = 0


Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(-27 + 32k)' equal to zero and attempt to solve:

Simplifying
-27 + 32k = 0

Solving
-27 + 32k = 0

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

Add '27' to each side of the equation.
-27 + 27 + 32k = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 32k = 0 + 27
32k = 0 + 27

Combine like terms: 0 + 27 = 27
32k = 27

Divide each side by '32'.
k = 0.84375

Simplifying
k = 0.84375
Solution
k = {0, 0.84375}

See similar equations:

| 16=.05r-8 | | 18x^2+33x-21=0 | | 3.50v=31.5 | | 2x+(-x+5)=11 | | 3(w+1)-6w=18 | | 16=4+3x | | 4-3x=-3 | | 62+(b-18)=86 | | -2(a+3)-a=0 | | -2.5c+6.7=-1.3 | | 15=5x+5 | | -7.1+5w=5.4 | | 18x^2+33x-15=6 | | 12-3t=6 | | 3+5n=18 | | -20=-2t-4 | | 2n+n+1=7 | | (4n+5)(n-6)=0 | | 7=6(2z+3)-5 | | -36=-9t | | -5x+14.7=2.2 | | -4=t | | (w-10)+64=98 | | 11=2-3y | | 6x^2-11x=-3 | | 3n+7=-23 | | 7=6(1-2y)-5 | | 7x^2-23x+6=0 | | 6.1=-1.4+3v | | 4s=45.5 | | -6(7k+11)=24 | | 6.1=-14+3v |

Equations solver categories