Final answer:
The equation presented is incomplete, preventing a determination of the number of solutions. A complete quadratic equation usually has two solutions, but more information is needed to solve for specific values of x.
Step-by-step explanation:
It's not possible to determine whether the equation 2(x-1)= has one solution, no solutions, or an infinite number of solutions because the equation is incomplete. The right-hand side of the equation is missing, which is essential in deciding how many solutions there might be. A complete linear equation in the form ax + b = 0 typically has a single solution. If this equation was instead a quadratic equation, in the form ax² + bx + c = 0, it would generally have two solutions, which can be found using the quadratic formula. However, if b² - 4ac = 0, there would be one unique solution because the discriminant is zero. And if the equation was linear but took the form 0x = 0, it would have an infinite number of solutions, as any value for x would satisfy the equation.
Without more information, we cannot provide specific values for x or make a conclusion about the number of solutions. To proceed, we would need the complete equation or further context regarding the problem. Mathematically, in cases of quadratic equations, the two values for x can be solved using the equation: x = (-b ± √(b² - 4ac))/(2a).