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2x(x+1)+2x=4x+2
We move all terms to the left:
2x(x+1)+2x-(4x+2)=0
We add all the numbers together, and all the variables
2x+2x(x+1)-(4x+2)=0
We multiply parentheses
2x^2+2x+2x-(4x+2)=0
We get rid of parentheses
2x^2+2x+2x-4x-2=0
We add all the numbers together, and all the variables
2x^2-2=0
a = 2; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·2·(-2)
Δ = 16
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{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*2}=\frac{-4}{4} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*2}=\frac{4}{4} =1 $
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