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4x+(x-7)(x+1)=-7
We move all terms to the left:
4x+(x-7)(x+1)-(-7)=0
We add all the numbers together, and all the variables
4x+(x-7)(x+1)+7=0
We multiply parentheses ..
(+x^2+x-7x-7)+4x+7=0
We get rid of parentheses
x^2+x-7x+4x-7+7=0
We add all the numbers together, and all the variables
x^2-2x=0
a = 1; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·1·0
Δ = 4
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{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*1}=\frac{0}{2} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*1}=\frac{4}{2} =2 $
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