5m(m-23)=-30

Solution for 5m(m-23)=-30 equation:

5m(m-23)=-30

We move all terms to the left:

5m(m-23)-(-30)=0

We add all the numbers together, and all the variables

5m(m-23)+30=0

We multiply parentheses

5m^2-115m+30=0

a = 5; b = -115; c = +30;
Δ = b2-4ac
Δ = -1152-4·5·30
Δ = 12625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{12625}=\sqrt{25*505}=\sqrt{25}*\sqrt{505}=5\sqrt{505}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-115)-5\sqrt{505}}{2*5}=\frac{115-5\sqrt{505}}{10}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+5\sqrt{505}}{2*5}=\frac{115+5\sqrt{505}}{10}
$