4x^2/3x=30

Solution for 4x^2/3x=30 equation:

4x^2/3x=30

We move all terms to the left:

4x^2/3x-(30)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We multiply all the terms by the denominator


4x^2-30*3x=0

Wy multiply elements

4x^2-90x=0

a = 4; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·4·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*4}=\frac{180}{8}
=22+1/2
$