(-4/3)x=-24

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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} $

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