Solve the equation
-3/x = x/-3
-3/x = x/-3
Cross multiply:
9 = x^2
? = x
Right.
To solve the equation (-3/x) = (x/-3), we can simplify both sides of the equation and then solve for x.
First, let's simplify both sides by cross-multiplying:
(-3/x) * (-3) = (x/-3) * x
Simplifying further:
(-3 * -3) / x = (x * x) / -3
9/x = x^2 / -3
Now, let's multiply both sides of the equation by x to get rid of the fraction:
9 = (x * x * x) / -3
To simplify further, multiply both sides of the equation by -3:
9 * -3 = x * x * x
-27 = x * x * x
Now, we have a cubic equation. To solve for x, we need to find the cube root of both sides:
∛(-27) = ∛(x * x * x)
-3 = x
Therefore, the solution to the equation -3/x = x/-3 is x = -3.