(4/5)*x=3x

Solution for (4/5)*x=3x equation:

(4/5)*x=3x

We move all terms to the left:

(4/5)*x-(3x)=0


Domain of the equation: 5)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+4/5)*x-3x=0

We add all the numbers together, and all the variables

-3x+(+4/5)*x=0

We multiply parentheses

4x^2-3x=0

a = 4; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·4·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*4}=\frac{6}{8}
=3/4
$