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0=18x-9x^2
We move all terms to the left:
0-(18x-9x^2)=0
We add all the numbers together, and all the variables
-(18x-9x^2)=0
We get rid of parentheses
9x^2-18x=0
a = 9; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·9·0
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*9}=\frac{0}{18} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*9}=\frac{36}{18} =2 $
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