X-15=16x/3x

Solution for X-15=16x/3x equation:

X-15=16X/3X

We move all terms to the left:

X-15-(16X/3X)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+16X/3X)-15=0

We get rid of parentheses

X-16X/3X-15=0

We multiply all the terms by the denominator


X*3X-16X-15*3X=0

We add all the numbers together, and all the variables

-16X+X*3X-15*3X=0

Wy multiply elements

3X^2-16X-45X=0

We add all the numbers together, and all the variables

3X^2-61X=0

a = 3; b = -61; c = 0;
Δ = b2-4ac
Δ = -612-4·3·0
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-61}{2*3}=\frac{0}{6}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+61}{2*3}=\frac{122}{6}
=20+1/3
$