3x*5x=450

Solution for 3x*5x=450 equation:

3x*5x=450

We move all terms to the left:

3x*5x-(450)=0

Wy multiply elements

15x^2-450=0

a = 15; b = 0; c = -450;
Δ = b2-4ac
Δ = 02-4·15·(-450)
Δ = 27000
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:

$\sqrt{\Delta}=\sqrt{27000}=\sqrt{900*30}=\sqrt{900}*\sqrt{30}=30\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{30}}{2*15}=\frac{0-30\sqrt{30}}{30}
=-\frac{30\sqrt{30}}{30}
=-\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{30}}{2*15}=\frac{0+30\sqrt{30}}{30}
=\frac{30\sqrt{30}}{30}
=\sqrt{30}
$