0.04-0.08x+0.64x^2=0.328

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Solution for 0.04-0.08x+0.64x^2=0.328 equation: 



0.04-0.08x+0.64x^2=0.328

We move all terms to the left:

0.04-0.08x+0.64x^2-(0.328)=0

We add all the numbers together, and all the variables

0.64x^2-0.08x-0.288=0

a = 0.64; b = -0.08; c = -0.288;
Δ = b2-4ac
Δ = -0.082-4·0.64·(-0.288)
Δ = 0.74368
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{-(-0.08)-\sqrt{0.74368}}{2*0.64}=\frac{0.08-\sqrt{0.74368}}{1.28}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.08)+\sqrt{0.74368}}{2*0.64}=\frac{0.08+\sqrt{0.74368}}{1.28}
$

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