# 25=-0,003x2+0,0638x+40

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## Solution for 25=-0,003x2+0,0638x+40 equation:

25=-0.003x^2+0.0638x+40
We move all terms to the left:
25-(-0.003x^2+0.0638x+40)=0
We get rid of parentheses
0.003x^2-0.0638x-40+25=0
We add all the numbers together, and all the variables
0.003x^2-0.0638x-15=0
a = 0.003; b = -0.0638; c = -15;Δ = b2-4acΔ = -0.06382-4·0.003·(-15)Δ = 0.18407044The delta value is higher than zero, so the equation has two solutionsWe 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{-(-0.0638)-\sqrt{0.18407044}}{2*0.003}=\frac{0.0638-\sqrt{0.18407044}}{0.006}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.0638)+\sqrt{0.18407044}}{2*0.003}=\frac{0.0638+\sqrt{0.18407044}}{0.006}$

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