-0,0135x^2+66,44x=18,5x

Solution for -0,0135x^2+66,44x=18,5x equation:

-0.0135x^2+66.44x=18.5x

We move all terms to the left:

-0.0135x^2+66.44x-(18.5x)=0

We add all the numbers together, and all the variables

-0.0135x^2+66.44x-(+18.5x)=0

We get rid of parentheses

-0.0135x^2+66.44x-18.5x=0

We add all the numbers together, and all the variables

-0.0135x^2+47.94x=0

a = -0.0135; b = 47.94; c = 0;
Δ = b2-4ac
Δ = 47.942-4·(-0.0135)·0
Δ = 2298.2436
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{-(47.94)-\sqrt{2298.2436}}{2*-0.0135}=\frac{-47.94-\sqrt{2298.2436}}{-0.027}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(47.94)+\sqrt{2298.2436}}{2*-0.0135}=\frac{-47.94+\sqrt{2298.2436}}{-0.027}
$