3x*5x*3*5=14

Solution for 3x*5x*3*5=14 equation:

3x*5x*3*5=14

We move all terms to the left:

3x*5x*3*5-(14)=0

Wy multiply elements

225x^2*3-14=0

Wy multiply elements

675x^2-14=0

a = 675; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·675·(-14)
Δ = 37800
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:

$\sqrt{\Delta}=\sqrt{37800}=\sqrt{900*42}=\sqrt{900}*\sqrt{42}=30\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{42}}{2*675}=\frac{0-30\sqrt{42}}{1350}
=-\frac{30\sqrt{42}}{1350}
=-\frac{\sqrt{42}}{45}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{42}}{2*675}=\frac{0+30\sqrt{42}}{1350}
=\frac{30\sqrt{42}}{1350}
=\frac{\sqrt{42}}{45}
$