-5x(2x-3)+5x=0

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Solution for -5x(2x-3)+5x=0 equation:



-5x(2x-3)+5x=0
We add all the numbers together, and all the variables
5x-5x(2x-3)=0
We multiply parentheses
-10x^2+5x+15x=0
We add all the numbers together, and all the variables
-10x^2+20x=0
a = -10; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-10)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-10}=\frac{-40}{-20} =+2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-10}=\frac{0}{-20} =0 $

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