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-4(-x-1)2x+3=43
We move all terms to the left:
-4(-x-1)2x+3-(43)=0
We add all the numbers together, and all the variables
-4(-1x-1)2x+3-43=0
We add all the numbers together, and all the variables
-4(-1x-1)2x-40=0
We multiply parentheses
8x^2+8x-40=0
a = 8; b = 8; c = -40;
Δ = b2-4ac
Δ = 82-4·8·(-40)
Δ = 1344
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1344}=\sqrt{64*21}=\sqrt{64}*\sqrt{21}=8\sqrt{21}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{21}}{2*8}=\frac{-8-8\sqrt{21}}{16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{21}}{2*8}=\frac{-8+8\sqrt{21}}{16} $
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