3x*5x=525

Solution for 3x*5x=525 equation:

3x*5x=525

We move all terms to the left:

3x*5x-(525)=0

Wy multiply elements

15x^2-525=0

a = 15; b = 0; c = -525;
Δ = b2-4ac
Δ = 02-4·15·(-525)
Δ = 31500
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:

$\sqrt{\Delta}=\sqrt{31500}=\sqrt{900*35}=\sqrt{900}*\sqrt{35}=30\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{35}}{2*15}=\frac{0-30\sqrt{35}}{30}
=-\frac{30\sqrt{35}}{30}
=-\sqrt{35}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{35}}{2*15}=\frac{0+30\sqrt{35}}{30}
=\frac{30\sqrt{35}}{30}
=\sqrt{35}
$