Question

(x-3)^2-(x+5)^2=7-(2x-4)

Answer 1

Последовательное решение)

Answer 2

Let's solve the equation step-by-step:

1. Expand both sides of the equation: (x - 3)^2 - (x + 5)^2 = 7 - (2x - 4)

   Expanding the squares: (x^2 - 6x + 9) - (x^2 + 10x + 25) = 7 - (2x - 4)

2. Simplify the equation: x^2 - 6x + 9 - x^2 - 10x - 25 = 7 - 2x + 4

3. Combine like terms: (-6x - 16) = (-2x + 11)

4. Move all the terms with "x" to one side and the constant terms to the other side: -6x + 2x = 11 + 16

5. Combine like terms again: -4x = 27

6. Solve for "x": x = 27 / (-4)

7. Simplify the result: x = -27/4

So, the solution to the equation is x = -27/4.