-4(x+3)7x-6=24

Solution for -4(x+3)7x-6=24 equation:

-4(x+3)7x-6=24

We move all terms to the left:

-4(x+3)7x-6-(24)=0

We add all the numbers together, and all the variables

-4(x+3)7x-30=0

We multiply parentheses

-28x^2-84x-30=0

a = -28; b = -84; c = -30;
Δ = b2-4ac
Δ = -842-4·(-28)·(-30)
Δ = 3696
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:

$\sqrt{\Delta}=\sqrt{3696}=\sqrt{16*231}=\sqrt{16}*\sqrt{231}=4\sqrt{231}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-84)-4\sqrt{231}}{2*-28}=\frac{84-4\sqrt{231}}{-56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-84)+4\sqrt{231}}{2*-28}=\frac{84+4\sqrt{231}}{-56}
$