(-7/8)m=-112

Solution for (-7/8)m=-112 equation:

(-7/8)m=-112

We move all terms to the left:

(-7/8)m-(-112)=0


Domain of the equation: 8)m!=0

m!=0/1

m!=0

m∈R


We add all the numbers together, and all the variables

(-7/8)m+112=0

We multiply parentheses

-7m^2+112=0

a = -7; b = 0; c = +112;
Δ = b2-4ac
Δ = 02-4·(-7)·112
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*-7}=\frac{-56}{-14}
=+4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*-7}=\frac{56}{-14}
=-4
$