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-5x+4x(-8x-9)=0
We multiply parentheses
-32x^2-5x-36x=0
We add all the numbers together, and all the variables
-32x^2-41x=0
a = -32; b = -41; c = 0;
Δ = b2-4ac
Δ = -412-4·(-32)·0
Δ = 1681
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{1681}=41$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-41)-41}{2*-32}=\frac{0}{-64} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-41)+41}{2*-32}=\frac{82}{-64} =-1+9/32 $
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