5x*24x=57

Solution for 5x*24x=57 equation:

5x*24x=57

We move all terms to the left:

5x*24x-(57)=0

Wy multiply elements

120x^2-57=0

a = 120; b = 0; c = -57;
Δ = b2-4ac
Δ = 02-4·120·(-57)
Δ = 27360
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:

$\sqrt{\Delta}=\sqrt{27360}=\sqrt{144*190}=\sqrt{144}*\sqrt{190}=12\sqrt{190}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{190}}{2*120}=\frac{0-12\sqrt{190}}{240}
=-\frac{12\sqrt{190}}{240}
=-\frac{\sqrt{190}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{190}}{2*120}=\frac{0+12\sqrt{190}}{240}
=\frac{12\sqrt{190}}{240}
=\frac{\sqrt{190}}{20}
$