(-4/3)x=-24

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

(-4/3)x=-24

We move all terms to the left:

(-4/3)x-(-24)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(-4/3)x+24=0

We multiply parentheses

-4x^2+24=0

a = -4; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-4)·24
Δ = 384
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:

$\sqrt{\Delta}=\sqrt{384}=\sqrt{64*6}=\sqrt{64}*\sqrt{6}=8\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{6}}{2*-4}=\frac{0-8\sqrt{6}}{-8}
=-\frac{8\sqrt{6}}{-8}
=-\frac{\sqrt{6}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{6}}{2*-4}=\frac{0+8\sqrt{6}}{-8}
=\frac{8\sqrt{6}}{-8}
=\frac{\sqrt{6}}{-1}
$