Question

(6 - 1,2x) (-x - 4x + 10x -15)=0пожалуйста с подробностями​

Answer 1

сначала одна скобка, потом другая

6-1.2x=0

1.2x=6

x1=6/1.2=5

-5x+10x-15=0

5x=15

x2=3

у уравнения два корня x1 и x2: 5 и 3

Answer 2

Sure, let's solve the equation step by step:

The given equation is:

(6 - 1.2x) * (-x - 4x + 10x - 15) = 0

First, let's simplify the expression inside the parentheses:

(-x - 4x + 10x - 15)

Combine like terms:

(-1x - 4x + 10x) - 15

(-1 - 4 + 10)x - 15

(5x - 15)

Now, the equation becomes:

(6 - 1.2x) * (5x - 15) = 0

Now, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

So, either (6 - 1.2x) = 0 or (5x - 15) = 0

Let's solve each equation:

1. (6 - 1.2x) = 0

Subtract 6 from both sides:

-1.2x = -6

Next, divide both sides by -1.2 to solve for x:

x = -6 / -1.2

x = 5

2. (5x - 15) = 0

Add 15 to both sides:

5x = 15

Now, divide both sides by 5:

x = 15 / 5

x = 3

So, the solutions to the equation are x = 5 and x = 3.