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9y^2=63y
We move all terms to the left:
9y^2-(63y)=0
a = 9; b = -63; c = 0;
Δ = b2-4ac
Δ = -632-4·9·0
Δ = 3969
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3969}=63$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-63}{2*9}=\frac{0}{18} =0 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+63}{2*9}=\frac{126}{18} =7 $
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