60*x=80*(X-80/60)

Solution for 60*x=80*(X-80/60) equation:

60x=80(x-80/60)

We move all terms to the left:

60x-(80(x-80/60))=0

We add all the numbers together, and all the variables

60x-(80(+x-80/60))=0

We multiply all the terms by the denominator


60x*60))-(80(+x-80=0

We add all the numbers together, and all the variables

x+60x*60))-(80(-80=0

Wy multiply elements

3600x^2+x-80=0

a = 3600; b = 1; c = -80;
Δ = b2-4ac
Δ = 12-4·3600·(-80)
Δ = 1152001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{1152001}}{2*3600}=\frac{-1-\sqrt{1152001}}{7200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1152001}}{2*3600}=\frac{-1+\sqrt{1152001}}{7200}
$