-3(31x+5)x=-4

Solution for -3(31x+5)x=-4 equation:

-3(31x+5)x=-4

We move all terms to the left:

-3(31x+5)x-(-4)=0

We add all the numbers together, and all the variables

-3(31x+5)x+4=0

We multiply parentheses

-93x^2-15x+4=0

a = -93; b = -15; c = +4;
Δ = b2-4ac
Δ = -152-4·(-93)·4
Δ = 1713
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{1713}}{2*-93}=\frac{15-\sqrt{1713}}{-186}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{1713}}{2*-93}=\frac{15+\sqrt{1713}}{-186}
$