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


Subproblem 1
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

Subproblem 2
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
Solution
k = {-7, 2.666666667}

See similar equations:

| 2=-4+u | | 3x+38=12x-72 | | 7a-5a+2a-8a+3a= | | 10x+16=5x+116 | | (4u^3+6u^2+7)+(6u^3-2u+7)= | | 18k^2+48k=0 | | -2x^3+6x^2-x+3=0 | | x^3+3x^2-28x+75=0 | | 0.35x+0.10(100-x)=33 | | 5b^2-25b-120=0 | | (1-3i)-(3+2i)= | | 8x+5x^3-5= | | x/8-2=-1 | | -18-6n=3(3n-1) | | -3(x-14)=-12 | | 10^-(0.01/2) | | 240=-8(5-5m) | | -5=8+w | | -14=-2/5(9-2b)=6 | | B^2-16b-17=0 | | 14x-3(2x+5)= | | -20=-5/7y | | 4x+71=9x-14 | | 2(t-3)-3(t-2)=28 | | -2+3(8n+6)=-176 | | 4w-8=-36 | | l(w)-99=0 | | 11w=3630 | | 8+12x=-25+x | | 92=4w | | 30=x+(x+4) | | 4+12x=15x |

Equations solver categories