4/15*x=60

Solution for 4/15*x=60 equation:

4/15*x=60

We move all terms to the left:

4/15*x-(60)=0


Domain of the equation: 15*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-60*15*x+4=0

Wy multiply elements

-900x*x+4=0

Wy multiply elements

-900x^2+4=0

a = -900; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-900)·4
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-900}=\frac{-120}{-1800}
=1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-900}=\frac{120}{-1800}
=-1/15
$