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.78e(8+e)=2-1.25e
We move all terms to the left:
.78e(8+e)-(2-1.25e)=0
We add all the numbers together, and all the variables
.78e(e+8)-(-1.25e+2)=0
We multiply parentheses
e^2+8e-(-1.25e+2)=0
We get rid of parentheses
e^2+8e+1.25e-2=0
We add all the numbers together, and all the variables
e^2+9.25e-2=0
a = 1; b = 9.25; c = -2;
Δ = b2-4ac
Δ = 9.252-4·1·(-2)
Δ = 93.5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9.25)-\sqrt{93.5625}}{2*1}=\frac{-9.25-\sqrt{93.5625}}{2} $$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.25)+\sqrt{93.5625}}{2*1}=\frac{-9.25+\sqrt{93.5625}}{2} $
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