-2x^2+70=-4x

Solution for -2x^2+70=-4x equation:

-2x^2+70=-4x

We move all terms to the left:

-2x^2+70-(-4x)=0

We get rid of parentheses

-2x^2+4x+70=0

a = -2; b = 4; c = +70;
Δ = b2-4ac
Δ = 42-4·(-2)·70
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-24}{2*-2}=\frac{-28}{-4}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+24}{2*-2}=\frac{20}{-4}
=-5
$