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5x*x-12x-108=0
We add all the numbers together, and all the variables
-12x+5x*x-108=0
Wy multiply elements
5x^2-12x-108=0
a = 5; b = -12; c = -108;
Δ = b2-4ac
Δ = -122-4·5·(-108)
Δ = 2304
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{2304}=48$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-48}{2*5}=\frac{-36}{10} =-3+3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+48}{2*5}=\frac{60}{10} =6 $
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