m-12/m=2m-7/1

Solution for m-12/m=2m-7/1 equation:

m-12/m=2m-7/1

We move all terms to the left:

m-12/m-(2m-7/1)=0


Domain of the equation: m!=0

m∈R


We add all the numbers together, and all the variables

m-12/m-(2m-7)=0

We get rid of parentheses

m-12/m-2m+7=0

We multiply all the terms by the denominator


m*m-2m*m+7*m-12=0

We add all the numbers together, and all the variables

7m+m*m-2m*m-12=0

Wy multiply elements

m^2-2m^2+7m-12=0

We add all the numbers together, and all the variables

-1m^2+7m-12=0

a = -1; b = 7; c = -12;
Δ = b2-4ac
Δ = 72-4·(-1)·(-12)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-1}{2*-1}=\frac{-8}{-2}
=+4
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+1}{2*-1}=\frac{-6}{-2}
=+3
$