(48-2x)(24-2x)=0

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Solution for (48-2x)(24-2x)=0 equation:



(48-2x)(24-2x)=0
We add all the numbers together, and all the variables
(-2x+48)(-2x+24)=0
We multiply parentheses ..
(+4x^2-48x-96x+1152)=0
We get rid of parentheses
4x^2-48x-96x+1152=0
We add all the numbers together, and all the variables
4x^2-144x+1152=0
a = 4; b = -144; c = +1152;
Δ = b2-4ac
Δ = -1442-4·4·1152
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{-(-144)-48}{2*4}=\frac{96}{8} =12 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+48}{2*4}=\frac{192}{8} =24 $

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