Question

(2x+6)(7-4x)=(2-x)(8x+1)-3​

Answer 1

Ответ:

14x-8x+42-24x=16x+2-8x-x+15

-18x+42=7x+17

-18x-7x=17-42

-25x=25

x=1

Answer 2

Ответ:

x=1.72

Пошаговое объяснение:

Answer 3

Let's solve the given equation step by step:

(2x + 6)(7 - 4x) = (2 - x)(8x + 1) - 3

First, let's expand both sides of the equation:

(2x + 6)(7 - 4x) = 14x - 8x^2 + 42 - 24x (Expanding the left side) (2 - x)(8x + 1) - 3 = 16x^2 - x - 3 (Expanding the right side)

Now, let's set these two expressions equal to each other:

14x - 8x^2 + 42 - 24x = 16x^2 - x - 3

Now, let's simplify the equation by moving all terms to one side:

0 = 16x^2 - x - 3 - (14x - 8x^2 + 42 - 24x)

Now, combine like terms:

0 = 16x^2 - x - 3 - 14x + 8x^2 - 42 + 24x

0 = 24x^2 - x - 45

Now, we have a quadratic equation in standard form:

24x^2 - x - 45 = 0

To solve for x, we can use the quadratic formula:

x = [-b ± √(b^2 - 4ac)] / (2a)

In this equation, a = 24, b = -1, and c = -45. Plug these values into the quadratic formula:

x = [1 ± √((-1)^2 - 4 * 24 * (-45))] / (2 * 24)

x = [1 ± √(1 + 4320)] / 48

x = [1 ± √4321] / 48

Now, we have two possible solutions:

1. x = (1 + √4321) / 48
2. x = (1 - √4321) / 48

These are the solutions to the equation (2x + 6)(7 - 4x) = (2 - x)(8x + 1) - 3.