5/4*x=180

Solution for 5/4*x=180 equation:

5/4*x=180

We move all terms to the left:

5/4*x-(180)=0


Domain of the equation: 4*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-180*4*x+5=0

Wy multiply elements

-720x*x+5=0

Wy multiply elements

-720x^2+5=0

a = -720; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-720)·5
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*-720}=\frac{-120}{-1440}
=1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-720}=\frac{120}{-1440}
=-1/12
$