2(1.5m+3)=2(12/5m+3)

Solution for 2(1.5m+3)=2(12/5m+3) equation:

2(1.5m+3)=2(12/5m+3)

We move all terms to the left:

2(1.5m+3)-(2(12/5m+3))=0


Domain of the equation: 5m+3))!=0

m∈R


We multiply parentheses

2m-(2(12/5m+3))+6=0

We multiply all the terms by the denominator


2m*5m+6*5m+3))-(2(12+3))=0

We add all the numbers together, and all the variables

2m*5m+6*5m+3))-(215)=0

We add all the numbers together, and all the variables

2m*5m+6*5m=0

Wy multiply elements

10m^2+30m=0

a = 10; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·10·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*10}=\frac{-60}{20}
=-3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*10}=\frac{0}{20}
=0
$