0=0.0032x^2-0.32x+2

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Solution for 0=0.0032x^2-0.32x+2 equation:



0=0.0032x^2-0.32x+2
We move all terms to the left:
0-(0.0032x^2-0.32x+2)=0
We add all the numbers together, and all the variables
-(0.0032x^2-0.32x+2)=0
We get rid of parentheses
-0.0032x^2+0.32x-2=0
a = -0.0032; b = 0.32; c = -2;
Δ = b2-4ac
Δ = 0.322-4·(-0.0032)·(-2)
Δ = 0.0768
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.32)-\sqrt{0.0768}}{2*-0.0032}=\frac{-0.32-\sqrt{0.0768}}{-0.0064} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.32)+\sqrt{0.0768}}{2*-0.0032}=\frac{-0.32+\sqrt{0.0768}}{-0.0064} $

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