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-5x(-x-1)+4x-1=49
We move all terms to the left:
-5x(-x-1)+4x-1-(49)=0
We add all the numbers together, and all the variables
-5x(-1x-1)+4x-1-49=0
We add all the numbers together, and all the variables
4x-5x(-1x-1)-50=0
We multiply parentheses
5x^2+4x+5x-50=0
We add all the numbers together, and all the variables
5x^2+9x-50=0
a = 5; b = 9; c = -50;
Δ = b2-4ac
Δ = 92-4·5·(-50)
Δ = 1081
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{-(9)-\sqrt{1081}}{2*5}=\frac{-9-\sqrt{1081}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{1081}}{2*5}=\frac{-9+\sqrt{1081}}{10} $
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