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4.1m(m+4)-2.1m=6
We move all terms to the left:
4.1m(m+4)-2.1m-(6)=0
We add all the numbers together, and all the variables
-2.1m+4.1m(m+4)-6=0
We multiply parentheses
4m^2-2.1m+16m-6=0
We add all the numbers together, and all the variables
4m^2+13.9m-6=0
a = 4; b = 13.9; c = -6;
Δ = b2-4ac
Δ = 13.92-4·4·(-6)
Δ = 289.21
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13.9)-\sqrt{289.21}}{2*4}=\frac{-13.9-\sqrt{289.21}}{8} $$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13.9)+\sqrt{289.21}}{2*4}=\frac{-13.9+\sqrt{289.21}}{8} $
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