-4x+x=(-1x)x=3

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Solution for -4x+x=(-1x)x=3 equation:



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

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