-4x2=-3x-4

Solution for -4x2=-3x-4 equation:

-4x^2=-3x-4

We move all terms to the left:

-4x^2-(-3x-4)=0

We get rid of parentheses

-4x^2+3x+4=0

a = -4; b = 3; c = +4;
Δ = b2-4ac
Δ = 32-4·(-4)·4
Δ = 73
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{-(3)-\sqrt{73}}{2*-4}=\frac{-3-\sqrt{73}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{73}}{2*-4}=\frac{-3+\sqrt{73}}{-8}
$