3m^2-13m-56=0

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


Simplifying
3m2 + -13m + -56 = 0

Reorder the terms:
-56 + -13m + 3m2 = 0

Solving
-56 + -13m + 3m2 = 0

Solving for variable 'm'.

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


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

Simplifying
-8 + -3m = 0

Solving
-8 + -3m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3m = 0 + 8

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

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

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

Simplifying
m = -2.666666667

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

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

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

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

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

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

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

See similar equations:

| 8=2x-7y | | 16x+3y=27 | | -5x-15=7x+21 | | 30=-5n+16+3n | | 4x=1-3y | | y=-8+21 | | -13r-35=-70-4r | | x(x-3)(2x+1)=0 | | 7(-3)-3(-3)=18 | | 8a-15=21+7a | | 8x-2(5-x)=2 | | y=-8x+82 | | 4x(x+7)=7x+49 | | 7y-3x=18 | | 4x-13y=14 | | 8x-12y=96 | | y=-x+23 | | 31/4+53/16 | | (3/2)x-4=16 | | 16(x-3)=-7-9 | | 7y-16-3y=39-6y+2 | | 1/8+3/4+1/8 | | 1/4+5/16+3/8 | | -4+5(x-2)=13x+5-8x | | (1/3)x=12 | | -16.4=3.6-5y | | 38=r+23 | | x=12y-158 | | 9h+7-6h=5h+9 | | 55+32+3x+18=180 | | -1.5x-1.5x-0.5x=-1 | | -1.5x-1.5x-0.5x=.1 |

Equations solver categories