5X^2=15x+350

Solution for 5X^2=15x+350 equation:

5X^2=15X+350

We move all terms to the left:

5X^2-(15X+350)=0

We get rid of parentheses

5X^2-15X-350=0

a = 5; b = -15; c = -350;
Δ = b2-4ac
Δ = -152-4·5·(-350)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-85}{2*5}=\frac{-70}{10}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+85}{2*5}=\frac{100}{10}
=10
$