-2x^2=-7x-5

Solution for -2x^2=-7x-5 equation:

-2x^2=-7x-5

We move all terms to the left:

-2x^2-(-7x-5)=0

We get rid of parentheses

-2x^2+7x+5=0

a = -2; b = 7; c = +5;
Δ = b2-4ac
Δ = 72-4·(-2)·5
Δ = 89
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{-(7)-\sqrt{89}}{2*-2}=\frac{-7-\sqrt{89}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{89}}{2*-2}=\frac{-7+\sqrt{89}}{-4}
$