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(x+1)(5x-x)=x
We move all terms to the left:
(x+1)(5x-x)-(x)=0
We add all the numbers together, and all the variables
(x+1)(+4x)-x=0
We add all the numbers together, and all the variables
-1x+(x+1)(+4x)=0
We multiply parentheses ..
(+4x^2+4x)-1x=0
We get rid of parentheses
4x^2+4x-1x=0
We add all the numbers together, and all the variables
4x^2+3x=0
a = 4; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·4·0
Δ = 9
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{9}=3$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*4}=\frac{-6}{8} =-3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*4}=\frac{0}{8} =0 $
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