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X=9-4X/7X
We move all terms to the left:
X-(9-4X/7X)=0
Domain of the equation: 7X)!=0We add all the numbers together, and all the variables
X!=0/1
X!=0
X∈R
X-(-4X/7X+9)=0
We get rid of parentheses
X+4X/7X-9=0
We multiply all the terms by the denominator
X*7X+4X-9*7X=0
We add all the numbers together, and all the variables
4X+X*7X-9*7X=0
Wy multiply elements
7X^2+4X-63X=0
We add all the numbers together, and all the variables
7X^2-59X=0
a = 7; b = -59; c = 0;
Δ = b2-4ac
Δ = -592-4·7·0
Δ = 3481
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{3481}=59$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-59}{2*7}=\frac{0}{14} =0 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+59}{2*7}=\frac{118}{14} =8+3/7 $
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