Question

(2x+3)(x-3)-17=2x(4x+1)​

Answer 1

Ответ:

Пошаговое объяснение:

2x2-6х+3х-9-17=8х2+2х

2х2-3х+26=8х2+2х

2х2-8х2-3х-2х=26

-6х2+5х=26

Answer 2

To solve the equation (2x+3)(x-3) - 17 = 2x(4x+1), you can follow these steps:

1. Expand both sides of the equation: (2x+3)(x-3) - 17 = 2x(4x+1)

   2x(x) + 2x(-3) + 3(x) + 3(-3) - 17 = 2x(4x) + 2x(1)

   2x^2 - 6x + 3x - 9 - 17 = 8x^2 + 2x

2. Combine like terms on both sides of the equation: 2x^2 - 3x - 26 = 8x^2 + 2x

3. Move all terms to one side to set the equation equal to zero: 2x^2 - 8x^2 - 3x - 2x - 26 = 0

4. Combine like terms: -6x^2 - 5x - 26 = 0

5. Now, we have a quadratic equation in standard form. To solve it, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

   In this case, a = -6, b = -5, and c = -26.

   x = (-(-5) ± √((-5)^2 - 4(-6)(-26))) / (2(-6))

   x = (5 ± √(25 - 624)) / (-12)

   x = (5 ± √(-599)) / (-12)

Since the discriminant (√(-599)) is an imaginary number, this equation has no real solutions. The solutions are complex numbers. You can leave your answer in this form or convert it to a different format as needed.