3x(15x-x)=150

Solution for 3x(15x-x)=150 equation:

3x(15x-x)=150

We move all terms to the left:

3x(15x-x)-(150)=0

We add all the numbers together, and all the variables

3x(+14x)-150=0

We multiply parentheses

42x^2-150=0

a = 42; b = 0; c = -150;
Δ = b2-4ac
Δ = 02-4·42·(-150)
Δ = 25200
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:

$\sqrt{\Delta}=\sqrt{25200}=\sqrt{3600*7}=\sqrt{3600}*\sqrt{7}=60\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{7}}{2*42}=\frac{0-60\sqrt{7}}{84}
=-\frac{60\sqrt{7}}{84}
=-\frac{5\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{7}}{2*42}=\frac{0+60\sqrt{7}}{84}
=\frac{60\sqrt{7}}{84}
=\frac{5\sqrt{7}}{7}
$