-42x^2+77-35=0

Solution for -42x^2+77-35=0 equation:

-42x^2+77-35=0

We add all the numbers together, and all the variables

-42x^2+42=0

a = -42; b = 0; c = +42;
Δ = b2-4ac
Δ = 02-4·(-42)·42
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*-42}=\frac{-84}{-84}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*-42}=\frac{84}{-84}
=-1
$