2x^2=35x-3x=0

Solution for 2x^2=35x-3x=0 equation:

2x^2=35x-3x=0

We move all terms to the left:

2x^2-(35x-3x)=0

We add all the numbers together, and all the variables

2x^2-(+32x)=0

We get rid of parentheses

2x^2-32x=0

a = 2; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·2·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*2}=\frac{64}{4}
=16
$