115x-30=35x^2

Solution for 115x-30=35x^2 equation:

115x-30=35x^2

We move all terms to the left:

115x-30-(35x^2)=0

determiningTheFunctionDomain
-35x^2+115x-30=0

a = -35; b = 115; c = -30;
Δ = b2-4ac
Δ = 1152-4·(-35)·(-30)
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(115)-95}{2*-35}=\frac{-210}{-70}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(115)+95}{2*-35}=\frac{-20}{-70}
=2/7
$