7m^2+6m-16=0

Simple and best practice solution for 7m^2+6m-16=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 7m^2+6m-16=0 equation: 


Simplifying
7m2 + 6m + -16 = 0

Reorder the terms:
-16 + 6m + 7m2 = 0

Solving
-16 + 6m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -1m)(8 + -7m) = 0


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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2

Subproblem 2
Set the factor '(8 + -7m)' equal to zero and attempt to solve:

Simplifying
8 + -7m = 0

Solving
8 + -7m = 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 + -7m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = 0 + -8
-7m = 0 + -8

Combine like terms: 0 + -8 = -8
-7m = -8

Divide each side by '-7'.
m = 1.142857143

Simplifying
m = 1.142857143
Solution
m = {-2, 1.142857143}

See similar equations:

| 4x+2y+3z=7 | | 160+25x=40+65x | | 10x-9+2x-3=9x-3+2x | | h-4=-6 | | 8x+8x+16=4+4x+8x | | 84=-4t+42 | | 4x-1=-4+1 | | 5=3+2h | | -23=5y+27 | | 4y^2-27y+44=0 | | 3g+1=7 | | -5*3+4K=-115 | | Z-37=-32 | | 14y+7y-21=0 | | 5+2x=7-4 | | (17x+1)=(12+5) | | 6-m=5m-8m | | 4+2f=6 | | 5m-12=23 | | 4n^2-3n-22=0 | | 5-8*-2N=-75 | | 3g+3=6 | | x+8(9-7+78)=7 | | 3h+4k=72 | | -12a+9a=-3a | | 6+2r=10 | | 4x-8=2(x-3) | | 5h+2.5k=95 | | 6=a/4+3 | | 5m-12=28 | | 3(2x+3)=21 | | 2x+81=-8x+71 |

Equations solver categories