35x2-307x=-668

Solution for 35x2-307x=-668 equation:

35x^2-307x=-668

We move all terms to the left:

35x^2-307x-(-668)=0

We add all the numbers together, and all the variables

35x^2-307x+668=0

a = 35; b = -307; c = +668;
Δ = b2-4ac
Δ = -3072-4·35·668
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-307)-27}{2*35}=\frac{280}{70}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-307)+27}{2*35}=\frac{334}{70}
=4+27/35
$