Question

how many solutions does this equation have? 0 = -4k + 4k no solution one solution infinitely many solutions

Explanation:

Step1: Simplify the equation

Simplify the right - hand side of the equation \(0=-4k + 4k\). Combining like terms, \(-4k+4k = 0\). So the equation becomes \(0 = 0\).

Step2: Determine the number of solutions

When we end up with a statement like \(0 = 0\) after simplifying an equation, this means that the equation is an identity. An identity is true for all values of the variable (in this case, \(k\)). So, the equation has infinitely many solutions.

Answer:

infinitely many solutions