Solved Equation: (x-3)(x-4)(x-5) = (x-2)(x-4)(x-5)
Introduction
In this article, we will explore the equation (x-3)(x-4)(x-5) = (x-2)(x-4)(x-5)
and find the solutions to this equation.
Simplifying the Equation
First, let's simplify the equation by combining like terms.
(x-3)(x-4)(x-5) = (x-2)(x-4)(x-5)
We can start by canceling out the common factor (x-4)(x-5)
from both sides of the equation.
(x-3) = (x-2)
Solving the Equation
Now, let's solve for x
.
x - 3 = x - 2
Subtract x
from both sides of the equation.
-3 = -2
This equation is a contradiction, which means there is no solution.
Conclusion
In conclusion, the equation (x-3)(x-4)(x-5) = (x-2)(x-4)(x-5)
has no solution. This is because the simplified equation -3 = -2
is a contradiction.