(4x+2x)*4x=(3+5)*3

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Solution for (4x+2x)*4x=(3+5)*3 equation:



(4x+2x)*4x=(3+5)*3
We move all terms to the left:
(4x+2x)*4x-((3+5)*3)=0
We add all the numbers together, and all the variables
(+6x)*4x-(8*3)=0
We add all the numbers together, and all the variables
(+6x)*4x-24=0
We multiply parentheses
24x^2-24=0
a = 24; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·24·(-24)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*24}=\frac{-48}{48} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*24}=\frac{48}{48} =1 $

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