-2x2-36x-160=-4x2-66x-272

Solution for -2x2-36x-160=-4x2-66x-272 equation:

-2x^2-36x-160=-4x^2-66x-272

We move all terms to the left:

-2x^2-36x-160-(-4x^2-66x-272)=0

We get rid of parentheses

-2x^2+4x^2+66x-36x+272-160=0

We add all the numbers together, and all the variables

2x^2+30x+112=0

a = 2; b = 30; c = +112;
Δ = b2-4ac
Δ = 302-4·2·112
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2}{2*2}=\frac{-32}{4}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2}{2*2}=\frac{-28}{4}
=-7
$