3k^2-13k-56=0

Simple and best practice solution for 3k^2-13k-56=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 3k^2-13k-56=0 equation: 


Simplifying
3k2 + -13k + -56 = 0

Reorder the terms:
-56 + -13k + 3k2 = 0

Solving
-56 + -13k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -3k)(7 + -1k) = 0


Subproblem 1
Set the factor '(-8 + -3k)' equal to zero and attempt to solve:

Simplifying
-8 + -3k = 0

Solving
-8 + -3k = 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 + -3k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3k = 0 + 8
-3k = 0 + 8

Combine like terms: 0 + 8 = 8
-3k = 8

Divide each side by '-3'.
k = -2.666666667

Simplifying
k = -2.666666667

Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve:

Simplifying
7 + -1k = 0

Solving
7 + -1k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7
Solution
k = {-2.666666667, 7}

See similar equations:

| -14=-3+v | | 30=-10(x-6) | | 6(3+1)=3(4x+2) | | 3x+6=7-6 | | 16x-(6x-8)=68 | | 2n^2-40=11n | | 12+13=-32+10x | | 2(-10+x)=-24 | | X+Y-13=0 | | 4-2n=-1-n | | -b+-8b+-20b+17b+9b=-18 | | 2h-5=4h-11 | | 4x+y+6x-7y=180 | | -3.5x=44.45 | | 2x(2.9+n)= | | 45+p=380 | | (-6)=s-(-1) | | x^4-6x^3+15x^2-18x+10=0 | | 3k^2+2k=16 | | 2x-5x+10=4x+31 | | d-9=(-12) | | -3=-6+y | | y+5/8=-1/2 | | 7x+19=10x-29 | | 17-y*3=4.5 | | 0.2x-0.4x=2 | | 3x(y-5)=39 | | -2senx+4=5cosx | | 13x^2+7-[3(x^2-8)+8]= | | -3y+20=11 | | -22=x+2+2x | | (6+3i)(9-i)= |

Equations solver categories