11.92x^2-37.35x+5.62x=0

Solution for 11.92x^2-37.35x+5.62x=0 equation:

11.92x^2-37.35x+5.62x=0

We add all the numbers together, and all the variables

11.92x^2-31.73x=0

a = 11.92; b = -31.73; c = 0;
Δ = b2-4ac
Δ = -31.732-4·11.92·0
Δ = 1006.7929
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{-(-31.73)-\sqrt{1006.7929}}{2*11.92}=\frac{31.73-\sqrt{1006.7929}}{23.84}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31.73)+\sqrt{1006.7929}}{2*11.92}=\frac{31.73+\sqrt{1006.7929}}{23.84}
$