5x*2x=1440

Solution for 5x*2x=1440 equation:

5x*2x=1440

We move all terms to the left:

5x*2x-(1440)=0

Wy multiply elements

10x^2-1440=0

a = 10; b = 0; c = -1440;
Δ = b2-4ac
Δ = 02-4·10·(-1440)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*10}=\frac{-240}{20}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*10}=\frac{240}{20}
=12
$