-2=3x^2-7x

Solution for -2=3x^2-7x equation:

-2=3x^2-7x

We move all terms to the left:

-2-(3x^2-7x)=0

We get rid of parentheses

-3x^2+7x-2=0

a = -3; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·(-3)·(-2)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-5}{2*-3}=\frac{-12}{-6}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+5}{2*-3}=\frac{-2}{-6}
=1/3
$