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(X+1)(4X-8)=7
We move all terms to the left:
(X+1)(4X-8)-(7)=0
We multiply parentheses ..
(+4X^2-8X+4X-8)-7=0
We get rid of parentheses
4X^2-8X+4X-8-7=0
We add all the numbers together, and all the variables
4X^2-4X-15=0
a = 4; b = -4; c = -15;
Δ = b2-4ac
Δ = -42-4·4·(-15)
Δ = 256
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{256}=16$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-16}{2*4}=\frac{-12}{8} =-1+1/2 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+16}{2*4}=\frac{20}{8} =2+1/2 $
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