0=20x^2+28x-3

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Solution for 0=20x^2+28x-3 equation:



0=20x^2+28x-3
We move all terms to the left:
0-(20x^2+28x-3)=0
We add all the numbers together, and all the variables
-(20x^2+28x-3)=0
We get rid of parentheses
-20x^2-28x+3=0
a = -20; b = -28; c = +3;
Δ = b2-4ac
Δ = -282-4·(-20)·3
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-32}{2*-20}=\frac{-4}{-40} =1/10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+32}{2*-20}=\frac{60}{-40} =-1+1/2 $

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