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(y-11)(21y+6)=0
We multiply parentheses ..
(+21y^2+6y-231y-66)=0
We get rid of parentheses
21y^2+6y-231y-66=0
We add all the numbers together, and all the variables
21y^2-225y-66=0
a = 21; b = -225; c = -66;
Δ = b2-4ac
Δ = -2252-4·21·(-66)
Δ = 56169
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{56169}=237$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-225)-237}{2*21}=\frac{-12}{42} =-2/7 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-225)+237}{2*21}=\frac{462}{42} =11 $
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