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6(-7+5y)9y=0
We add all the numbers together, and all the variables
6(5y-7)9y=0
We multiply parentheses
270y^2-378y=0
a = 270; b = -378; c = 0;
Δ = b2-4ac
Δ = -3782-4·270·0
Δ = 142884
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{142884}=378$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-378)-378}{2*270}=\frac{0}{540} =0 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-378)+378}{2*270}=\frac{756}{540} =1+2/5 $
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