9x*7x=2500

Solution for 9x*7x=2500 equation:

9x*7x=2500

We move all terms to the left:

9x*7x-(2500)=0

Wy multiply elements

63x^2-2500=0

a = 63; b = 0; c = -2500;
Δ = b2-4ac
Δ = 02-4·63·(-2500)
Δ = 630000
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:

$\sqrt{\Delta}=\sqrt{630000}=\sqrt{90000*7}=\sqrt{90000}*\sqrt{7}=300\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{7}}{2*63}=\frac{0-300\sqrt{7}}{126}
=-\frac{300\sqrt{7}}{126}
=-\frac{50\sqrt{7}}{21}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{7}}{2*63}=\frac{0+300\sqrt{7}}{126}
=\frac{300\sqrt{7}}{126}
=\frac{50\sqrt{7}}{21}
$