-6x2-30x^2+42x=0

Solution for -6x2-30x^2+42x=0 equation:

-6x^2-30x^2+42x=0

We add all the numbers together, and all the variables

-36x^2+42x=0

a = -36; b = 42; c = 0;
Δ = b2-4ac
Δ = 422-4·(-36)·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*-36}=\frac{-84}{-72}
=1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+42}{2*-36}=\frac{0}{-72}
=0
$