3x(2/3)=375

Solution for 3x(2/3)=375 equation:

3x(2/3)=375

We move all terms to the left:

3x(2/3)-(375)=0

We add all the numbers together, and all the variables

3x(+2/3)-375=0

We multiply parentheses

6x^2-375=0

a = 6; b = 0; c = -375;
Δ = b2-4ac
Δ = 02-4·6·(-375)
Δ = 9000
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:

$\sqrt{\Delta}=\sqrt{9000}=\sqrt{900*10}=\sqrt{900}*\sqrt{10}=30\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{10}}{2*6}=\frac{0-30\sqrt{10}}{12}
=-\frac{30\sqrt{10}}{12}
=-\frac{5\sqrt{10}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{10}}{2*6}=\frac{0+30\sqrt{10}}{12}
=\frac{30\sqrt{10}}{12}
=\frac{5\sqrt{10}}{2}
$