Question

4) 39x + (4x + 3)2 = 2 + 4(2x + 1)2.​

Answer 1

не поместилось в фото все пример но решение все

Answer 2

To solve the equation 39x + (4x + 3)^2 = 2 + 4(2x + 1)^2, you can follow these steps:

1. Expand both sides of the equation: 39x + (4x + 3)(4x + 3) = 2 + 4(2x + 1)(2x + 1)

   Expanding the left side: 39x + (16x^2 + 24x + 9) = 2 + 4(4x^2 + 4x + 1)

2. Simplify both sides of the equation: 39x + 16x^2 + 24x + 9 = 2 + 16x^2 + 16x + 4

3. Rearrange the equation by moving all terms to one side to set the equation equal to zero: 39x + 16x^2 + 24x + 9 - 2 - 16x^2 - 16x - 4 = 0

4. Combine like terms on both sides of the equation: (39x - 16x - 16x) + (16x^2 - 16x^2) + (9 - 2 - 4) = 0

   Simplify further: 7x + 3 = 0

5. Now, isolate the variable x by subtracting 3 from both sides of the equation: 7x = -3

6. Finally, divide both sides by 7 to solve for x: x = -3/7

So, the solution to the equation 39x + (4x + 3)^2 = 2 + 4(2x + 1)^2 is x = -3/7.