2x^2-10x-24=12x

Solution for 2x^2-10x-24=12x equation:

2x^2-10x-24=12x

We move all terms to the left:

2x^2-10x-24-(12x)=0

We add all the numbers together, and all the variables

2x^2-22x-24=0

a = 2; b = -22; c = -24;
Δ = b2-4ac
Δ = -222-4·2·(-24)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-26}{2*2}=\frac{-4}{4}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+26}{2*2}=\frac{48}{4}
=12
$