2m-70/m=-4

Solution for 2m-70/m=-4 equation:

2m-70/m=-4

We move all terms to the left:

2m-70/m-(-4)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

2m-70/m+4=0

We multiply all the terms by the denominator


2m*m+4*m-70=0

We add all the numbers together, and all the variables

4m+2m*m-70=0

Wy multiply elements

2m^2+4m-70=0

a = 2; b = 4; c = -70;
Δ = b2-4ac
Δ = 42-4·2·(-70)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-24}{2*2}=\frac{-28}{4}
=-7
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+24}{2*2}=\frac{20}{4}
=5
$