1440=5x*8x

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Solution for 1440=5x*8x equation:



1440=5x*8x
We move all terms to the left:
1440-(5x*8x)=0
We add all the numbers together, and all the variables
-(+5x*8x)+1440=0
We get rid of parentheses
-5x*8x+1440=0
Wy multiply elements
-40x^2+1440=0
a = -40; b = 0; c = +1440;
Δ = b2-4ac
Δ = 02-4·(-40)·1440
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-480}{2*-40}=\frac{-480}{-80} =+6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+480}{2*-40}=\frac{480}{-80} =-6 $

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