4x(x+3)=3x+2x

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Solution for 4x(x+3)=3x+2x equation:



4x(x+3)=3x+2x
We move all terms to the left:
4x(x+3)-(3x+2x)=0
We add all the numbers together, and all the variables
4x(x+3)-(+5x)=0
We multiply parentheses
4x^2+12x-(+5x)=0
We get rid of parentheses
4x^2+12x-5x=0
We add all the numbers together, and all the variables
4x^2+7x=0
a = 4; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·4·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*4}=\frac{-14}{8} =-1+3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*4}=\frac{0}{8} =0 $

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