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(-2x-3)(-9x+7)=0
We multiply parentheses ..
(+18x^2-14x+27x-21)=0
We get rid of parentheses
18x^2-14x+27x-21=0
We add all the numbers together, and all the variables
18x^2+13x-21=0
a = 18; b = 13; c = -21;
Δ = b2-4ac
Δ = 132-4·18·(-21)
Δ = 1681
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{1681}=41$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-41}{2*18}=\frac{-54}{36} =-1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+41}{2*18}=\frac{28}{36} =7/9 $
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