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2x^2-5x-20x=-9
We move all terms to the left:
2x^2-5x-20x-(-9)=0
We add all the numbers together, and all the variables
2x^2-25x+9=0
a = 2; b = -25; c = +9;
Δ = b2-4ac
Δ = -252-4·2·9
Δ = 553
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-\sqrt{553}}{2*2}=\frac{25-\sqrt{553}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{553}}{2*2}=\frac{25+\sqrt{553}}{4} $
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