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(9y-2)(2.1-7y)=0

We add all the numbers together, and all the variables

(9y-2)(-7y+2.1)=0

We multiply parentheses ..

(-63y^2+18.9y+14y-4.2)=0

We get rid of parentheses

-63y^2+18.9y+14y-4.2=0

We add all the numbers together, and all the variables

-63y^2+32.9y-4.2=0

a = -63; b = 32.9; c = -4.2;

Δ = b^{2}-4ac

Δ = 32.9^{2}-4·(-63)·(-4.2)

Δ = 24.01

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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32.9)-\sqrt{24.01}}{2*-63}=\frac{-32.9-\sqrt{24.01}}{-126} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32.9)+\sqrt{24.01}}{2*-63}=\frac{-32.9+\sqrt{24.01}}{-126} $

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