Question

(2x+1)(1-2x)+4x^2=5x+11

Answer 1

Ответ:

см. решение в фото

Answer 2

Ответ:

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Answer 3

Let's solve the equation (2x+1)(1-2x) + 4x^2 = 5x + 11 step by step:

1. First, expand the expressions on both sides of the equation:

   (2x+1)(1-2x) + 4x^2 = 5x + 11

   Expand the left side using the distributive property:

   (2x)(1) - (2x)(2x) + (1)(1) - (1)(2x) + 4x^2 = 5x + 11

   2x - 4x^2 + 1 - 2x + 4x^2 = 5x + 11

2. Simplify the equation by combining like terms. Notice that the -4x^2 and +4x^2 terms cancel out:

   2x - 2x + 1 = 5x + 11

3. Now, simplify further:

   1 = 5x + 11

4. Subtract 11 from both sides of the equation:

   1 - 11 = 5x

   -10 = 5x

5. Finally, divide both sides by 5 to solve for x:

   -10 / 5 = 5x / 5

   -2 = x

So, the solution to the equation is x = -2.