-0,5(x+6)(3-x)=0

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Solution for -0,5(x+6)(3-x)=0 equation:



-0.5(x+6)(3-x)=0
We add all the numbers together, and all the variables
-0.5(x+6)(-1x+3)=0
We multiply parentheses ..
-0.5(-1x^2+3x-6x+18)=0
We multiply parentheses
0.5x^2-1.5x+3x-9=0
We add all the numbers together, and all the variables
0.5x^2+1.5x-9=0
a = 0.5; b = 1.5; c = -9;
Δ = b2-4ac
Δ = 1.52-4·0.5·(-9)
Δ = 20.25
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{-(1.5)-\sqrt{20.25}}{2*0.5}=\frac{-1.5-\sqrt{20.25}}{1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{20.25}}{2*0.5}=\frac{-1.5+\sqrt{20.25}}{1} $

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