3x+5x(x-1)=-4x

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Solution for 3x+5x(x-1)=-4x equation:



3x+5x(x-1)=-4x
We move all terms to the left:
3x+5x(x-1)-(-4x)=0
We multiply parentheses
5x^2+3x-5x-(-4x)=0
We get rid of parentheses
5x^2+3x-5x+4x=0
We add all the numbers together, and all the variables
5x^2+2x=0
a = 5; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·5·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*5}=\frac{-4}{10} =-2/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*5}=\frac{0}{10} =0 $

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