35x2+-18x+-5=0

Solution for 35x2+-18x+-5=0 equation:

35x^2+-18x+-5=0

We add all the numbers together, and all the variables

35x^2-18x=0

a = 35; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·35·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*35}=\frac{0}{70}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*35}=\frac{36}{70}
=18/35
$