Question

-8|3x+28|=-56 помогите пж!!!!!

Answer 1

Ответ:

|3х+28|=7

3х+28=7

3х+28=-7

х=-7

х=-35/3

ответ: х1=-7

х2=-35/3

Answer 2

Solving the Equation -8|3x+28|=-56

To solve the equation -8|3x+28|=-56, we can start by isolating the absolute value expression and then solving for the variable x.

First, we isolate the absolute value expression by dividing both sides of the equation by -8:

-8|3x+28| = -56 |3x+28| = -56 / -8 |3x+28| = 7

Now, we can split the equation into two cases based on the definition of absolute value:

1. When the expression inside the absolute value is positive: 3x + 28 = 7

2. When the expression inside the absolute value is negative: -(3x + 28) = 7

Let's solve each case separately.

Case 1: 3x + 28 = 7

Subtract 28 from both sides: 3x = 7 - 28 3x = -21

Divide by 3: x = -21 / 3 x = -7

Case 2: -(3x + 28) = 7

Distribute the negative sign: -3x - 28 = 7

Add 28 to both sides: -3x = 7 + 28 -3x = 35

Divide by -3: x = 35 / -3 x = -35/3

So, the solutions to the equation -8|3x+28|=-56 are x = -7 and x = -35/3.