35x^2-79x=-42

Solution for 35x^2-79x=-42 equation:

35x^2-79x=-42

We move all terms to the left:

35x^2-79x-(-42)=0

We add all the numbers together, and all the variables

35x^2-79x+42=0

a = 35; b = -79; c = +42;
Δ = b2-4ac
Δ = -792-4·35·42
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-19}{2*35}=\frac{60}{70}
=6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+19}{2*35}=\frac{98}{70}
=1+2/5
$