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x(5x-51)=-124
We move all terms to the left:
x(5x-51)-(-124)=0
We add all the numbers together, and all the variables
x(5x-51)+124=0
We multiply parentheses
5x^2-51x+124=0
a = 5; b = -51; c = +124;
Δ = b2-4ac
Δ = -512-4·5·124
Δ = 121
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{121}=11$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-51)-11}{2*5}=\frac{40}{10} =4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51)+11}{2*5}=\frac{62}{10} =6+1/5 $
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