Question

solve: 4 + x/2 = -3

Explanation:

Step1: Isolate the square root term

Subtract 4 from both sides.
$$\sqrt{x} = -3 - 4$$

Step2: Simplify the right-hand side

Calculate the sum of constants.
$$\sqrt{x} = -7$$

Step3: Analyze the equation's validity

The square root of a real number cannot be negative, so there is no real solution for $x$. However, if we consider squaring both sides (noting this introduces an extraneous solution):
$$x = (-7)^2 = 49$$
Verify: $\sqrt{49} + 4 = 7 + 4 = 11
eq -3$, so 49 is extraneous.

Answer:

There is no real solution for $x$. If considering non-real or extraneous solutions, $x=49$ is extraneous and does not satisfy the original equation.