Question

Решите уравнение 0,2x-5x^2=0

Answer 1

Х( 0,2 - 5х) = 0
х = 0 или  0,2 - 5 х = 0
                - 5х = - 0,2
                  х = -0,2 : (-5) = 0,04
 Ответ: 0;  0,04 

Answer 2

I can help you solve the equation 0.2x-5x^2=0. To do this, I will use the quadratic formula, which 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 = -5, b = 0.2, and c = 0. Therefore, we have:

$$x = \frac{-0.2 \pm \sqrt{0.2^2 - 4(-5)(0)}}{2(-5)}$$

Simplifying the expression under the square root, we get:

$$x = \frac{-0.2 \pm \sqrt{0.04 + 0}}{-10}$$

Taking the square root, we have:

$$x = \frac{-0.2 \pm 0.2}{-10}$$

Now we have two possible values for x, depending on whether we choose the positive or negative sign. They are:

$$x = \frac{-0.2 + 0.2}{-10} = 0$$

and

$$x = \frac{-0.2 - 0.2}{-10} = 0.04$$

These are the two solutions of the equation. You can check them by plugging them back into the original equation and verifying that they make it true.

If you need more help with solving equations, you can use some online tools such as [Symbolab](https://ru.symbolab.com/solver/equation-calculator), [Mathway](https://www.mathway.com/ru/Algebra), or [Microsoft Math Solver](https://mathsolver.microsoft.com/ru/solve-problem/2%20x%20%5E%20%7B%202%20%7D%20%2B%205%20x%20%3D%200). They can show you the steps and explanations for different types of equations.