Solving the Equation (5m + 4)^2 = 0
This equation represents a quadratic equation in disguise. Here's how to solve it:
Understanding the Equation
 (5m + 4)^2 means (5m + 4) multiplied by itself: (5m + 4) * (5m + 4).
 = 0 indicates we're looking for the values of 'm' that make the entire expression equal to zero.
Solving for 'm'

Expand the square: (5m + 4)^2 = 25m^2 + 40m + 16

Set the equation to zero: 25m^2 + 40m + 16 = 0

Factor the quadratic expression: (5m + 4)(5m + 4) = 0

Solve for 'm': 5m + 4 = 0 5m = 4 m = 4/5
Conclusion
The only solution to the equation (5m + 4)^2 = 0 is m = 4/5. This means that if you substitute 4/5 for 'm' in the original equation, the expression will equal zero.
It's important to note that this equation has a double root because the factor (5m + 4) appears twice. This signifies that the graph of the equation would touch the xaxis at the point (4/5, 0) without crossing it.