To solve this equation, we need to simplify the expressions containing square roots and isolate the variable.
First, let's simplify each square root separately: √4x = 2√x √64x = 8√x √81x = 9√x
Now let's substitute these simplifications back into the equation: 2√x + 8√x - 9√x = 0
Combining like terms, we get: (2 + 8 - 9)√x = 0
Simplifying further: (1)√x = 0
To solve for x, we square both sides of the equation: (√x)^2 = (0)^2 x = 0
So the solution to the equation is x = 0.
