74q^2=50q

Solution for 74q^2=50q equation:

74q^2=50q

We move all terms to the left:

74q^2-(50q)=0

a = 74; b = -50; c = 0;
Δ = b2-4ac
Δ = -502-4·74·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-50}{2*74}=\frac{0}{148}
=0
$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+50}{2*74}=\frac{100}{148}
=25/37
$