-16x^2=-24x

Solution for -16x^2=-24x equation:

-16x^2=-24x

We move all terms to the left:

-16x^2-(-24x)=0

We get rid of parentheses

-16x^2+24x=0

a = -16; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-16)·0
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{-(24)-24}{2*-16}=\frac{-48}{-32}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-16}=\frac{0}{-32}
=0
$