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x=32+(x*9/5)
We move all terms to the left:
x-(32+(x*9/5))=0
We add all the numbers together, and all the variables
x-(32+(+x*9/5))=0
We multiply all the terms by the denominator
x*5))-(32+(+x*9=0
Wy multiply elements
5x^2+9x=0
a = 5; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·5·0
Δ = 81
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{81}=9$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*5}=\frac{-18}{10} =-1+4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*5}=\frac{0}{10} =0 $
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