(37/60)x=60

Solution for (37/60)x=60 equation:

(37/60)x=60

We move all terms to the left:

(37/60)x-(60)=0


Domain of the equation: 60)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+37/60)x-60=0

We multiply parentheses

37x^2-60=0

a = 37; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·37·(-60)
Δ = 8880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8880}=\sqrt{16*555}=\sqrt{16}*\sqrt{555}=4\sqrt{555}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{555}}{2*37}=\frac{0-4\sqrt{555}}{74}
=-\frac{4\sqrt{555}}{74}
=-\frac{2\sqrt{555}}{37}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{555}}{2*37}=\frac{0+4\sqrt{555}}{74}
=\frac{4\sqrt{555}}{74}
=\frac{2\sqrt{555}}{37}
$