Question

4(x+2x)= 2x^2 помогите пжпжпж дам 11 баллов

Answer 1

Ответ:

-2,3 , 0

Пошаговое объяснение:

Переносим 2х² в левую часть и раскрываем скобки

4х + 8х² - 2х² = 0

6х² + 4х = 0 | :2

3х² + 2х = 0

х(3х + 2) = 0

х = 0    или    3х + 2 = 0

                      3х = -2

                      х = -2/3

Answer 2

To solve the equation 4(x + 2x) = 2x^2, we can follow these steps:

1. Simplify the equation by distributing the 4 to both terms inside the parentheses: 4(x + 2x) = 2x^2 4x + 8x = 2x^2

2. Combine like terms on the left side of the equation: 12x = 2x^2

3. Move all terms to one side of the equation to set it equal to zero: 2x^2 - 12x = 0

4. Factor out the greatest common factor, which in this case is 2x: 2x(x - 6) = 0

5. Apply the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. Set each factor equal to zero and solve for x: 2x = 0 or x - 6 = 0

6. Solve for x in each equation: For 2x = 0, divide both sides by 2 to isolate x: x = 0

For x - 6 = 0, add 6 to both sides to isolate x: x = 6

Therefore, the solutions to the equation 4(x + 2x) = 2x^2 are x = 0 and x = 6.

I hope this helps! Let me know if you have any further questions.