5x(3-x)=0

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



5x(3-x)=0
We add all the numbers together, and all the variables
5x(-1x+3)=0
We multiply parentheses
-5x^2+15x=0
a = -5; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-5)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-5}=\frac{-30}{-10} =+3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-5}=\frac{0}{-10} =0 $

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