0=-0.12x^2+3x

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Solution for 0=-0.12x^2+3x equation:



0=-0.12x^2+3x
We move all terms to the left:
0-(-0.12x^2+3x)=0
We add all the numbers together, and all the variables
-(-0.12x^2+3x)=0
We get rid of parentheses
0.12x^2-3x=0
a = 0.12; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·0.12·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*0.12}=\frac{0}{0.24} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*0.12}=\frac{6}{0.24} =25 $

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