3(x+8)=-3(7-1/4x)

Solution for 3(x+8)=-3(7-1/4x) equation:

3(x+8)=-3(7-1/4x)

We move all terms to the left:

3(x+8)-(-3(7-1/4x))=0


Domain of the equation: 4x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

3(x+8)-(-3(-1/4x+7))=0

We multiply parentheses

3x-(-3(-1/4x+7))+24=0

We multiply all the terms by the denominator


3x*4x+24*4x-1+7))-(-3(+7))=0

We add all the numbers together, and all the variables

3x*4x+24*4x-1+7))-(-37)=0

We add all the numbers together, and all the variables

3x*4x+24*4x=0

Wy multiply elements

12x^2+96x=0

a = 12; b = 96; c = 0;
Δ = b2-4ac
Δ = 962-4·12·0
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-96}{2*12}=\frac{-192}{24}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+96}{2*12}=\frac{0}{24}
=0
$