72000=24*x*2x

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Solution for 72000=24*x*2x equation:



72000=24x*2x
We move all terms to the left:
72000-(24x*2x)=0
We add all the numbers together, and all the variables
-(+24x*2x)+72000=0
We get rid of parentheses
-24x*2x+72000=0
Wy multiply elements
-48x^2+72000=0
a = -48; b = 0; c = +72000;
Δ = b2-4ac
Δ = 02-4·(-48)·72000
Δ = 13824000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{13824000}=\sqrt{921600*15}=\sqrt{921600}*\sqrt{15}=960\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-960\sqrt{15}}{2*-48}=\frac{0-960\sqrt{15}}{-96} =-\frac{960\sqrt{15}}{-96} =-\frac{10\sqrt{15}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+960\sqrt{15}}{2*-48}=\frac{0+960\sqrt{15}}{-96} =\frac{960\sqrt{15}}{-96} =\frac{10\sqrt{15}}{-1} $

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