-2x^2=-6x-140

Solution for -2x^2=-6x-140 equation:

-2x^2=-6x-140

We move all terms to the left:

-2x^2-(-6x-140)=0

We get rid of parentheses

-2x^2+6x+140=0

a = -2; b = 6; c = +140;
Δ = b2-4ac
Δ = 62-4·(-2)·140
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-34}{2*-2}=\frac{-40}{-4}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+34}{2*-2}=\frac{28}{-4}
=-7
$