5m-3=-3-5m*m

Solution for 5m-3=-3-5m*m equation:

5m-3=-3-5m*m

We move all terms to the left:

5m-3-(-3-5m*m)=0

We add all the numbers together, and all the variables

5m-(-5m*m-3)-3=0

We get rid of parentheses

5m+5m*m+3-3=0

We add all the numbers together, and all the variables

5m+5m*m=0

Wy multiply elements

5m^2+5m=0

a = 5; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·5·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*5}=\frac{-10}{10}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*5}=\frac{0}{10}
=0
$