x(2x-x)=5x-6

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Solution for x(2x-x)=5x-6 equation:



x(2x-x)=5x-6
We move all terms to the left:
x(2x-x)-(5x-6)=0
We add all the numbers together, and all the variables
x(+x)-(5x-6)=0
We multiply parentheses
x^2-(5x-6)=0
We get rid of parentheses
x^2-5x+6=0
a = 1; b = -5; c = +6;
Δ = b2-4ac
Δ = -52-4·1·6
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-1}{2*1}=\frac{4}{2} =2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+1}{2*1}=\frac{6}{2} =3 $

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