0=25-8.33x-3.5x^2

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Solution for 0=25-8.33x-3.5x^2 equation:



0=25-8.33x-3.5x^2
We move all terms to the left:
0-(25-8.33x-3.5x^2)=0
We add all the numbers together, and all the variables
-(25-8.33x-3.5x^2)=0
We get rid of parentheses
3.5x^2+8.33x-25=0
a = 3.5; b = 8.33; c = -25;
Δ = b2-4ac
Δ = 8.332-4·3.5·(-25)
Δ = 419.3889
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{-(8.33)-\sqrt{419.3889}}{2*3.5}=\frac{-8.33-\sqrt{419.3889}}{7} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8.33)+\sqrt{419.3889}}{2*3.5}=\frac{-8.33+\sqrt{419.3889}}{7} $

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