5x*6x=2536

Solution for 5x*6x=2536 equation:

5x*6x=2536

We move all terms to the left:

5x*6x-(2536)=0

Wy multiply elements

30x^2-2536=0

a = 30; b = 0; c = -2536;
Δ = b2-4ac
Δ = 02-4·30·(-2536)
Δ = 304320
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:

$\sqrt{\Delta}=\sqrt{304320}=\sqrt{64*4755}=\sqrt{64}*\sqrt{4755}=8\sqrt{4755}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{4755}}{2*30}=\frac{0-8\sqrt{4755}}{60}
=-\frac{8\sqrt{4755}}{60}
=-\frac{2\sqrt{4755}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{4755}}{2*30}=\frac{0+8\sqrt{4755}}{60}
=\frac{8\sqrt{4755}}{60}
=\frac{2\sqrt{4755}}{15}
$