Final answer:
To find the solution(s) to the equation 4x = -4x, graph the equation and observe the points where the graph intersects the x-axis. The graph will not intersect the x-axis, indicating no solutions exist.
Step-by-step explanation:
To find the solution(s) to the equation 4x = -4x, we can graph the equation and find the points where the graph intersects the x-axis. This can be done by plotting the points on a graph and observing where the line crosses the x-axis.
Since the equation is linear, the graph will be a straight line. The line will intersect the x-axis at a single point if there is one solution, or it will intersect the x-axis at multiple points if there are multiple solutions.
In this case, the graph will be a straight line passing through the origin (0,0). Since the equation states that 4x is equal to -4x, there is no single value of x that satisfies this equation. Therefore, the graph will not intersect the x-axis at any point, indicating that there are no solutions to the equation 4x = -4x.