-39x2+37,2x=0

Solution for -39x2+37,2x=0 equation:

-39x^2+37.2x=0

a = -39; b = 37.2; c = 0;
Δ = b2-4ac
Δ = 37.22-4·(-39)·0
Δ = 1383.84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37.2)-\sqrt{1383.84}}{2*-39}=\frac{-37.2-\sqrt{1383.84}}{-78}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37.2)+\sqrt{1383.84}}{2*-39}=\frac{-37.2+\sqrt{1383.84}}{-78}
$