4(0.50x+4)=9(1/3x+2)

Solution for 4(0.50x+4)=9(1/3x+2) equation:

4(0.50x+4)=9(1/3x+2)

We move all terms to the left:

4(0.50x+4)-(9(1/3x+2))=0


Domain of the equation: 3x+2))!=0

x∈R


We multiply parentheses

0x-(9(1/3x+2))+16=0

We multiply all the terms by the denominator


0x*3x+16*3x+2))-(9(1+2))=0

We add all the numbers together, and all the variables

0x*3x+16*3x+2))-(93)=0

We add all the numbers together, and all the variables

0x*3x+16*3x=0

Wy multiply elements

0x^2+48x=0

We add all the numbers together, and all the variables

x^2+48x=0

a = 1; b = 48; c = 0;
Δ = b2-4ac
Δ = 482-4·1·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-48}{2*1}=\frac{-96}{2}
=-48
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+48}{2*1}=\frac{0}{2}
=0
$