Final answer:
To solve the equation 6x = 15/2x, multiply both sides by 2x and then simplify and solve for x.
Step-by-step explanation:
To solve the equation 6x = 15/2x, we need to isolate x on one side of the equation. First, we can multiply both sides of the equation by 2x to eliminate the fraction: 6x * 2x = (15/2x) * 2x. Simplifying, we get 12x^2 = 15.
To solve for x, we can divide both sides of the equation by 12: 12x^2/12 = 15/12. Simplifying further, we get x^2 = 15/12.
Taking the square root of both sides, we get x = ± √(15/12).
So the answer is x = ± (√15)/(√12).