Final answer:
To solve the equation 5√x + 7 = -2, subtract 7 from both sides, divide by 5, and square both sides to obtain x = 3.24.
Step-by-step explanation:
The equation is 5√x + 7 = -2. To solve for x, we need to isolate the square root term. First, subtract 7 from both sides of the equation to get 5√x = -9. Then, divide both sides by 5 to obtain √x = -9/5. Next, square both sides of the equation to get x = (-9/5)^2 = 81/25 = 3.24.
Therefore, the solution to the equation is x = 3.24.