-3x(-x+8)=-46

Solution for -3x(-x+8)=-46 equation:

-3x(-x+8)=-46

We move all terms to the left:

-3x(-x+8)-(-46)=0

We add all the numbers together, and all the variables

-3x(-1x+8)-(-46)=0

We add all the numbers together, and all the variables

-3x(-1x+8)+46=0

We multiply parentheses

3x^2-24x+46=0

a = 3; b = -24; c = +46;
Δ = b2-4ac
Δ = -242-4·3·46
Δ = 24
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:

$\sqrt{\Delta}=\sqrt{24}=\sqrt{4*6}=\sqrt{4}*\sqrt{6}=2\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-2\sqrt{6}}{2*3}=\frac{24-2\sqrt{6}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+2\sqrt{6}}{2*3}=\frac{24+2\sqrt{6}}{6}
$