Solve for x over the real numbers:
(9 x)/25 = 5/(3 x^2)
Rewrite the right hand side of the equation.
5/(3 x^2) = 5/(3 x^2):
(9 x)/25 = 5/(3 x^2)
Multiply both sides by a polynomial to clear fractions.
Cross multiply:
27 x^3 = 125
Divide both sides by a constant to simplify the equation.
Divide both sides by 27:
x^3 = 125/27
Elminate the power on the left hand side.
Take cube roots of both sides:
Answer:
x = 5/3