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

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



-2x(5x-3)=5x
We move all terms to the left:
-2x(5x-3)-(5x)=0
We add all the numbers together, and all the variables
-5x-2x(5x-3)=0
We multiply parentheses
-10x^2-5x+6x=0
We add all the numbers together, and all the variables
-10x^2+x=0
a = -10; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-10)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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

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