k^2+4k-96=0

Simple and best practice solution for k^2+4k-96=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 k^2+4k-96=0 equation: 


Simplifying
k2 + 4k + -96 = 0

Reorder the terms:
-96 + 4k + k2 = 0

Solving
-96 + 4k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-12 + -1k)(8 + -1k) = 0


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

Simplifying
-12 + -1k = 0

Solving
-12 + -1k = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1k = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1k = 0 + 12
-1k = 0 + 12

Combine like terms: 0 + 12 = 12
-1k = 12

Divide each side by '-1'.
k = -12

Simplifying
k = -12

Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {-12, 8}

See similar equations:

| -9x-7= | | x^2+2x+16=0 | | -x^2+8x-6=0 | | 7(x+2)= | | 2y+2=-9-7y | | (x+2)(x)(2)=48 | | x^2+2x-16=0 | | -7*12+y=1*6 | | 6n+2=1 | | 2r^2+r-6=0 | | 15r^2-34r+15=0 | | 8*5=[b-2a] | | 4(x+6)=-8 | | w(w+3)=70 | | 6-2(3x-5)=-14 | | 4(9x-5)=20 | | -4y^2+23y+15=0 | | w^2+3w-70=0 | | 12x=-4x^2-9 | | (7t-2)-(-3t+1)=3(1-3t) | | 6x-7=4x+39 | | 13=3x+8 | | 64-13(8-4)= | | 6x/3=2 | | 12(2-x)=6(1+x) | | 3(4x+2)-3= | | 9x+4=7x-2 | | -6x=3x^2+9 | | 0=-16t^2+28t-32 | | 6*7= | | 2=7+4b | | 0+(50*1)-60-(60*0)+10= |

Equations solver categories