(x-3)(x-4)(x-5)=(x-2)(x-4)(x-5)

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Jun 03, 2024

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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.