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-115-11x=-4x^2-8x
We move all terms to the left:
-115-11x-(-4x^2-8x)=0
We get rid of parentheses
4x^2+8x-11x-115=0
We add all the numbers together, and all the variables
4x^2-3x-115=0
a = 4; b = -3; c = -115;
Δ = b2-4ac
Δ = -32-4·4·(-115)
Δ = 1849
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{1849}=43$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-43}{2*4}=\frac{-40}{8} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+43}{2*4}=\frac{46}{8} =5+3/4 $
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