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-2/8y=-3y+9.35
We move all terms to the left:
-2/8y-(-3y+9.35)=0
Domain of the equation: 8y!=0We get rid of parentheses
y!=0/8
y!=0
y∈R
-2/8y+3y-9.35=0
We multiply all the terms by the denominator
3y*8y-(9.35)*8y-2=0
We multiply parentheses
3y*8y-74.8y-2=0
Wy multiply elements
24y^2-74.8y-2=0
a = 24; b = -74.8; c = -2;
Δ = b2-4ac
Δ = -74.82-4·24·(-2)
Δ = 5787.04
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{-(-74.8)-\sqrt{5787.04}}{2*24}=\frac{74.8-\sqrt{5787.04}}{48} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74.8)+\sqrt{5787.04}}{2*24}=\frac{74.8+\sqrt{5787.04}}{48} $
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