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0=20+4x-16x^2
We move all terms to the left:
0-(20+4x-16x^2)=0
We add all the numbers together, and all the variables
-(20+4x-16x^2)=0
We get rid of parentheses
16x^2-4x-20=0
a = 16; b = -4; c = -20;
Δ = b2-4ac
Δ = -42-4·16·(-20)
Δ = 1296
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{1296}=36$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-36}{2*16}=\frac{-32}{32} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+36}{2*16}=\frac{40}{32} =1+1/4 $
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