Question

(3х-4)(3х+4)-(5х-2)(5х+2)=2х(1-8х)

Answer 1

Ответ:

x = -6

Пошаговое объяснение:

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(3х - 4)(3х + 4) - (5х - 2)(5х + 2) = 2х(1 - 8х)

Раскроем скобки в левой части по ФСУ и в правой части

9x² - 16 - (25x² - 4) = 2x - 16x²

9x² - 16 - 25x² + 4 = 2x - 16x²

Перенесём всё в левую часть

9x² - 16 - 25x² + 4 - 2x + 16x² = 0

Приведём подобные члены

9x² + 16x² - 25x² - 2x - 16 + 4 = 0

- 2x - 12 = 0

Теперь оставляем x в левой части, числа переносим в правую

- 2x = 12

x = 12/-2

x = -6

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Answer 2

Ответ:

Пошаговое объяснение:

(3х-4)(3х+4)-(5х-2)(5х+2)=2х(1-8х)

9$x^{2}$-16-25$x^{2}$-4=2х-16$x^{2}$

9$x^{2}$-25$x^{2}$+16$x^{2}$-2х=20

-2х=20

х=20÷(-2)

х=-10

Answer 3

Let's simplify the expression step by step:

1. Expand the left side of the equation using the distributive property:

   (3x - 4)(3x + 4) - (5x - 2)(5x + 2)

   = (9x^2 - 16) - (25x^2 - 4)

2. Now, subtract the second expression on the left side from the first:

   (9x^2 - 16) - (25x^2 - 4)

   = 9x^2 - 16 - 25x^2 + 4

3. Combine like terms:

   9x^2 - 25x^2 - 16 + 4

4. Simplify further:

   -16x^2 - 12

Now, let's simplify the right side of the equation:

2x(1 - 8x)

= 2x - 16x^2

Now, set the left side equal to the right side:

-16x^2 - 12 = 2x - 16x^2

At this point, you'll notice that the terms involving x^2 cancel out:

-12 = 2x - 16x^2

Now, isolate the x term:

2x - 16x^2 = -12

2x = -12

x = -12/2

x = -6

So, the solution to the equation is x = -6.