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(0.8x-1.21)(18x+5)=x
We move all terms to the left:
(0.8x-1.21)(18x+5)-(x)=0
We add all the numbers together, and all the variables
-1x+(0.8x-1.21)(18x+5)=0
We multiply parentheses ..
(+0x^2+0x-21.78x-6.05)-1x=0
We get rid of parentheses
0x^2+0x-21.78x-1x-6.05=0
We add all the numbers together, and all the variables
x^2-21.78x-6.05=0
a = 1; b = -21.78; c = -6.05;
Δ = b2-4ac
Δ = -21.782-4·1·(-6.05)
Δ = 498.5684
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{-(-21.78)-\sqrt{498.5684}}{2*1}=\frac{21.78-\sqrt{498.5684}}{2}x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21.78)+\sqrt{498.5684}}{2*1}=\frac{21.78+\sqrt{498.5684}}{2}
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