4x*5x=74

Solution for 4x*5x=74 equation:

4x*5x=74

We move all terms to the left:

4x*5x-(74)=0

Wy multiply elements

20x^2-74=0

a = 20; b = 0; c = -74;
Δ = b2-4ac
Δ = 02-4·20·(-74)
Δ = 5920
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:

$\sqrt{\Delta}=\sqrt{5920}=\sqrt{16*370}=\sqrt{16}*\sqrt{370}=4\sqrt{370}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{370}}{2*20}=\frac{0-4\sqrt{370}}{40}
=-\frac{4\sqrt{370}}{40}
=-\frac{\sqrt{370}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{370}}{2*20}=\frac{0+4\sqrt{370}}{40}
=\frac{4\sqrt{370}}{40}
=\frac{\sqrt{370}}{10}
$