y=90(y-125/84)

Solution for y=90(y-125/84) equation:

y=90(y-125/84)

We move all terms to the left:

y-(90(y-125/84))=0

We add all the numbers together, and all the variables

y-(90(+y-125/84))=0

We multiply all the terms by the denominator


y*84))-(90(+y-125=0

We add all the numbers together, and all the variables

y+y*84))-(90(-125=0

Wy multiply elements

84y^2+y-125=0

a = 84; b = 1; c = -125;
Δ = b2-4ac
Δ = 12-4·84·(-125)
Δ = 42001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{42001}}{2*84}=\frac{-1-\sqrt{42001}}{168}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{42001}}{2*84}=\frac{-1+\sqrt{42001}}{168}
$