Question

|3.5-2x|+7.5x=6x-(6-7x)(5-2x)

Answer 1

Решение задания приложено

Answer 2

To solve the equation |3.5-2x| + 7.5x = 6x - (6-7x)(5-2x), we'll need to consider two cases: one where the expression inside the absolute value is positive and another where it's negative. Let's go step-by-step:

Case 1: (3.5-2x) is positive (3.5-2x > 0)

Step 1: Solve the expression inside the absolute value: 3.5 - 2x > 0

Step 2: Now, isolate x: 2x < 3.5 x < 3.5/2 x < 1.75

Now we have the first part of the solution: x < 1.75.

Case 2: (3.5-2x) is negative (3.5-2x < 0)

Step 1: Solve the expression inside the absolute value: 3.5 - 2x < 0

Step 2: Now, isolate x: 2x > 3.5 x > 3.5/2 x > 1.75

Now we have the second part of the solution: x > 1.75.

Combining the results from both cases:

x < 1.75 or x > 1.75

So, the solution to the equation is all real numbers except x = 1.75.