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(2x-15)(9x+14)=0
We multiply parentheses ..
(+18x^2+28x-135x-210)=0
We get rid of parentheses
18x^2+28x-135x-210=0
We add all the numbers together, and all the variables
18x^2-107x-210=0
a = 18; b = -107; c = -210;
Δ = b2-4ac
Δ = -1072-4·18·(-210)
Δ = 26569
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{26569}=163$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-107)-163}{2*18}=\frac{-56}{36} =-1+5/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-107)+163}{2*18}=\frac{270}{36} =7+1/2 $
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