Solving a Radical Equation

Hello! Let's solve this radical equation step by step. Our goal is to find the value of x that makes this equation true.

The equation we are given is negative seven times the square root of twenty-four minus x equals negative twenty-eight.

Our first step is to isolate the radical term. Since it's multiplied by negative seven, we divide both sides of the equation by negative seven.

On the left, the negative sevens cancel out. On the right, negative twenty-eight divided by negative seven equals four.

To remove the square root symbol, we square both sides of the equation.

Squaring a square root cancels it out, leaving us with twenty-four minus x on the left. On the right, four squared is sixteen.