Question

(2x+1)(x-3)=x(4-x)-9

Answer 1

Ответ:

3x-3=5x-9

3x-5x=3-9

-2x=-6

x=3

Answer 2

Let's solve the equation step by step:

1. First, expand both sides of the equation: (2x + 1)(x - 3) = x(4 - x) - 9

   Expanding the left side: 2x(x) - 2x(3) + 1(x) - 1(3) = x(4) - x^2 - 9

   Simplify the expressions: 2x^2 - 6x + x - 3 = 4x - x^2 - 9

2. Now, combine like terms on both sides of the equation: 2x^2 - 6x + x - 3 = 4x - x^2 - 9

   Combine the x terms: 2x^2 - 5x - 3 = 4x - x^2 - 9

3. Move all terms to one side of the equation to set the equation to zero: 2x^2 - 5x - 3 - 4x + x^2 + 9 = 0

4. Combine like terms again: 2x^2 + x^2 - 5x - 4x - 3 + 9 = 0

   3x^2 - 9x + 6 = 0

5. Divide the entire equation by 3 to simplify it: (3x^2 - 9x + 6) / 3 = 0 / 3

   x^2 - 3x + 2 = 0

6. Now, let's factor the quadratic equation: (x - 2)(x - 1) = 0

7. Set each factor equal to zero and solve for x: x - 2 = 0 --> x = 2 x - 1 = 0 --> x = 1

So, the solutions to the equation are x = 2 and x = 1.