Question

3х2+12х=0 решите уравнение

Answer 1

3 умножить на 2 плюс 12 умноженное на 0 равно 6

Answer 2

6+12х=0
12х=0-6
12х=-6
х=-6/12
х=-0,5

Answer 3

I can help you solve this equation. The equation is 3x^2 + 12x = 0. To solve it, we can use the quadratic formula or factor out the common term. I will show you both methods.

Method 1: Quadratic formula

The quadratic formula is $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where a, b, and c are the coefficients of the equation $$ax^2 + bx + c = 0$$

In this case, a = 3, b = 12, and c = 0. So we can plug in these values and simplify:

$$x = \frac{-12 \pm \sqrt{12^2 - 4 \cdot 3 \cdot 0}}{2 \cdot 3}$$

$$x = \frac{-12 \pm \sqrt{144}}{6}$$

$$x = \frac{-12 \pm 12}{6}$$

There are two possible values for x:

$$x_1 = \frac{-12 + 12}{6} = 0$$

$$x_2 = \frac{-12 - 12}{6} = -4$$

So the solutions are x = 0 and x = -4.

Method 2: Factoring

We can also solve this equation by factoring out the common term 3x:

$$3x^2 + 12x = 0$$

$$3x(x + 4) = 0$$

Then we can use the zero product property, which says that if ab = 0, then either a = 0 or b = 0. So we have:

$$3x = 0 \text{ or } x + 4 = 0$$

Solving for x, we get the same solutions as before:

$$x = 0 \text{ or } x = -4$$

You can check your answer by plugging in the values of x into the original equation and verifying that they make it true.

I hope this helps you understand how to solve this equation. You can also use online calculators to check your work or get more detailed steps. For example, you can try [this one](https://www.kontrolnaya-rabota.ru/s/equal-one/any-uravnenie/e/3x_v_stepeni_dva_plyus_12x_ravno_nol/) or [this one](https://www.kontrolnaya-rabota.ru/s/equal-one/any-uravnenie/e/3_x_v_stepeni_dva_plyus_12_x_ravno_nol/).