0=3x^2+25x+28

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Solution for 0=3x^2+25x+28 equation:



0=3x^2+25x+28
We move all terms to the left:
0-(3x^2+25x+28)=0
We add all the numbers together, and all the variables
-(3x^2+25x+28)=0
We get rid of parentheses
-3x^2-25x-28=0
a = -3; b = -25; c = -28;
Δ = b2-4ac
Δ = -252-4·(-3)·(-28)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-17}{2*-3}=\frac{8}{-6} =-1+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+17}{2*-3}=\frac{42}{-6} =-7 $

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