-20X^2-58x^2+42x=0

Solution for -20X^2-58x^2+42x=0 equation:

-20X^2-58X^2+42X=0

We add all the numbers together, and all the variables

-78X^2+42X=0

a = -78; b = 42; c = 0;
Δ = b2-4ac
Δ = 422-4·(-78)·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-42}{2*-78}=\frac{-84}{-156}
=7/13
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+42}{2*-78}=\frac{0}{-156}
=0
$