x 2 −4x=−5x

Sure, let's solve the equation step by step:

1. First, let's simplify the equation by combining like terms. The equation is x^2 - 4x = -5x.

2. Add 5x to both sides to get x^2 - 4x + 5x = 0.

3. This simplifies to x^2 + x = 0.

4. Now, let's factor the equation. The factored form of the equation is x(x + 1) = 0.

5. Set each factor equal to zero and solve for x.

   x = 0 and x + 1 = 0.

6. Solving x + 1 = 0 gives x = -1.

So, the solutions to the equation are x = 0 and x = -1.