564x=50(x-1/2)

Solution for 564x=50(x-1/2) equation:

564x=50(x-1/2)

We move all terms to the left:

564x-(50(x-1/2))=0

We add all the numbers together, and all the variables

564x-(50(+x-1/2))=0

We multiply all the terms by the denominator


564x*2))-(50(+x-1=0

We add all the numbers together, and all the variables

x+564x*2))-(50(-1=0

Wy multiply elements

1128x^2+x-1=0

a = 1128; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·1128·(-1)
Δ = 4513
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{4513}}{2*1128}=\frac{-1-\sqrt{4513}}{2256}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4513}}{2*1128}=\frac{-1+\sqrt{4513}}{2256}
$