-8x-24=-4x(3x-13)

Solution for -8x-24=-4x(3x-13) equation:

-8x-24=-4x(3x-13)

We move all terms to the left:

-8x-24-(-4x(3x-13))=0


We calculate terms in parentheses: -(-4x(3x-13)), so:

-4x(3x-13)

We multiply parentheses

-12x^2+52x

Back to the equation:

-(-12x^2+52x)


We get rid of parentheses

12x^2-52x-8x-24=0

We add all the numbers together, and all the variables

12x^2-60x-24=0

a = 12; b = -60; c = -24;
Δ = b2-4ac
Δ = -602-4·12·(-24)
Δ = 4752
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4752}=\sqrt{144*33}=\sqrt{144}*\sqrt{33}=12\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-12\sqrt{33}}{2*12}=\frac{60-12\sqrt{33}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+12\sqrt{33}}{2*12}=\frac{60+12\sqrt{33}}{24}
$