Question

200:(((7+144:х)+132)×5-600)=2

Answer 1

200 : (((7 + 144 : х) + 132) · 5 - 600) = 2

((7 + 144 : х) + 132) · 5 - 600 = 200 : 2

((7 + 144 : х) + 132) · 5 - 600 = 100

((7 + 144 : х) + 132) · 5 = 100 + 600

((7 + 144 : х) + 132) · 5 = 700

(7 + 144 : х) + 132 = 700 : 5

(7 + 144 : х) + 132 = 140

7 + 144 : х = 140 - 132

7 + 144 : х = 8

144 : х = 8 - 7

144 : х = 1

х = 144 : 1

х = 144

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Проверка:

200 : (((7 + 144 : 144) + 132) · 5 - 600) = 2

200 : (((7 + 1) + 132) · 5 - 600) = 2

200 : ((8 + 132) · 5 - 600) = 2

200 : (140 · 5 - 600) = 2

200 : (700 - 600) = 2

200 : 100 = 2

2 = 2

Answer 2

To solve the given equation, let's follow the order of operations (PEMDAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The equation is: 200:(((7+144:х)+132)×5-600)=2

Let's simplify it step by step:

1. Parentheses: 7 + 144 ÷ х This step can't be simplified further since we don't know the value of 'х'.

2. Multiplication: (7 + 144 ÷ х) + 132 × 5 - 600

3. Addition: (7 + 144 ÷ х) + (132 × 5) - 600 (7 + 144 ÷ х) + 660 - 600

4. Division: (7 + 144 ÷ х) + 60

5. Addition: 7 + (144 ÷ х) + 60 (144 ÷ х) + 67

6. Division: 200 ÷ ((144 ÷ х) + 67)

Now we have a new equation: 200 ÷ ((144 ÷ х) + 67) = 2

To solve for 'х', we can proceed as follows:

1. First, subtract 67 from both sides of the equation:

   200 ÷ ((144 ÷ х) + 67) - 67 = 2 - 67

2. Simplify:

   200 ÷ ((144 ÷ х) + 67) = -65

3. Next, we can cross-multiply:

   200 = -65 * ((144 ÷ х) + 67)

4. Divide both sides by -65:

   200 / -65 = (144 ÷ х) + 67

5. Now, subtract 67 from both sides:

   200 / -65 - 67 = 144 ÷ х

6. Simplify:

   -3 - 144 ÷ х

7. Finally, isolate 'х' by adding 144 to both sides:

   -3 - 144 = х

   х = -147

So the value of 'х' that satisfies the equation is -147. You can verify this result by substituting -147 for 'х' in the original equation.