0,015x^2-2x^2+70x=500

Solution for 0,015x^2-2x^2+70x=500 equation:

0.015x^2-2x^2+70x=500

We move all terms to the left:

0.015x^2-2x^2+70x-(500)=0

We add all the numbers together, and all the variables

-1.985x^2+70x-500=0

a = -1.985; b = 70; c = -500;
Δ = b2-4ac
Δ = 702-4·(-1.985)·(-500)
Δ = 930
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{-(70)-\sqrt{930}}{2*-1.985}=\frac{-70-\sqrt{930}}{-3.97}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+\sqrt{930}}{2*-1.985}=\frac{-70+\sqrt{930}}{-3.97}
$