Question

2x (x + 1) = 2 (x-5)

Answer 1

Ответ:

Объяснение:

2x (x + 1) = 2 (x-5)

Раскроем скобки:

2x²+2x=2x-10

2x²+2x-2x+10=0

2x²+10=0

2x²=-10

x² = -5

x=∅

Answer 2

To solve the equation 2x(x + 1) = 2(x - 5), you can follow these steps:

1. Distribute the constants on both sides of the equation:

   2x * x + 2x * 1 = 2 * x - 2 * 5

2. Simplify the equation:

   2x^2 + 2x = 2x - 10

3. Move all terms to one side of the equation:

   2x^2 + 2x - 2x + 10 = 0

4. Combine like terms:

   2x^2 + 10 = 0

5. Subtract 10 from both sides of the equation:

   2x^2 = -10

6. Divide both sides by 2 to isolate x^2:

   x^2 = -5

7. Take the square root of both sides. Remember that there are two possible solutions, one for the positive square root and one for the negative square root:

   x = ±√(-5)

However, it's important to note that the square root of a negative number is not a real number but a complex number. So, the solution to this equation is in the complex number domain:

x = ±√5i

These are the two complex solutions to the equation 2x(x + 1) = 2(x - 5).