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X=9X/8X-3
We move all terms to the left:
X-(9X/8X-3)=0
Domain of the equation: 8X-3)!=0We get rid of parentheses
X∈R
X-9X/8X+3=0
We multiply all the terms by the denominator
X*8X-9X+3*8X=0
We add all the numbers together, and all the variables
-9X+X*8X+3*8X=0
Wy multiply elements
8X^2-9X+24X=0
We add all the numbers together, and all the variables
8X^2+15X=0
a = 8; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·8·0
Δ = 225
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{225}=15$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*8}=\frac{-30}{16} =-1+7/8 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*8}=\frac{0}{16} =0 $
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