50x=60x(x-1/2)

Solution for 50x=60x(x-1/2) equation:

50x=60x(x-1/2)

We move all terms to the left:

50x-(60x(x-1/2))=0

We add all the numbers together, and all the variables

50x-(60x(+x-1/2))=0

We multiply all the terms by the denominator


50x*2))-(60x(+x-1=0

We add all the numbers together, and all the variables

x+50x*2))-(60x(-1=0

Wy multiply elements

100x^2+x-1=0

a = 100; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·100·(-1)
Δ = 401
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{401}}{2*100}=\frac{-1-\sqrt{401}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{401}}{2*100}=\frac{-1+\sqrt{401}}{200}
$