Question

8-1,5x•(3x+2)=2/3•(4-6x)​

Answer 1

Ответ:

1) раскроем скобки

8- 4,5x - 3 = 2 - 4х

2) переносим по сторонам х

8 - 3 - 2 = 4,5х - 4х

3 = 0,5х

х = 3 : 0,5

х = 6

Answer 2

To solve the equation 8 - 1.5x * (3x + 2) = (2/3) * (4 - 6x), follow these steps:

1. Distribute on both sides of the equation to eliminate the parentheses:

8 - 1.5x * 3x - 1.5x * 2 = (2/3) * 4 - (2/3) * 6x

2. Simplify the equation by performing the multiplications:

8 - 4.5x^2 - 3x = (8/3) - 4x

3. Move all terms to one side of the equation to set it equal to zero:

-4.5x^2 - 3x + 4x + (8/3) - 8 = 0

4. Combine like terms:

-4.5x^2 + x - (8/3) = 0

5. Multiply the entire equation by 3 to eliminate the fraction:

-13.5x^2 + 3x - 8 = 0

6. Now, we have a quadratic equation in standard form. To solve it, you can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = -13.5, b = 3, and c = -8. Plug these values into the formula:

x = (-3 ± √(3² - 4 * (-13.5) * (-8))) / (2 * (-13.5))

x = (-3 ± √(9 + 432)) / (-27)

x = (-3 ± √441) / (-27)

x = (-3 ± 21) / (-27)

Now, we have two possible solutions:

1. x = (-3 + 21) / (-27) = 18 / (-27) = -2/3
2. x = (-3 - 21) / (-27) = -24 / (-27) = 8/9

So, the equation has two solutions: x = -2/3 and x = 8/9.