Question

What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for p, we need to isolate p on one side of the equation. Here are the steps to solve the equation:

1. Begin with the given equation: 82.78(p+11.892)=72.8464
2. Distribute 82.78 to both terms inside the parentheses: 82.78p + 82.78(11.892) = 72.8464
3. Perform the multiplication within the parentheses: 82.78p + 985.05616 = 72.8464
4. Subtract 985.05616 from both sides of the equation: 82.78p = 72.8464 - 985.05616
5. Simplify the right side: 82.78p = -912.20976
6. Divide both sides of the equation by 82.78: p = -912.20976 / 82.78

Therefore, the solution for p is p = -11.0123 (rounded to 4 decimal places).

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation 82.78(p+11.892)=72.8464 for p, follow these steps:

Step 1: Distribute the 82.78 to the terms inside the parentheses:
82.78p + (82.78 * 11.892) = 72.8464

Step 2: Simplify the expression by multiplying 82.78 and 11.892:
82.78p + 984.327816 = 72.8464

Step 3: Subtract 984.327816 from both sides of the equation to isolate the term with p:
82.78p = 72.8464 - 984.327816

Step 4: Calculate the result on the right-hand side of the equation:
82.78p = -911.481416

Step 5: Divide both sides of the equation by 82.78 to solve for p:
p = -911.481416 / 82.78

The solution for p, without rounding, is approximately -11.002505179.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve for p in the equation 82.78(p + 11.892) = 72.8464, you can follow these steps:

Step 1: Distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464

Step 2: Simplify the expression inside the parentheses:
82.78p + 991.67736 = 72.8464

Step 3: Move the constant term to the other side of the equation:
82.78p = 72.8464 - 991.67736

Step 4: Combine the terms on the right side:
82.78p = -918.83096

Step 5: Divide both sides of the equation by 82.78 to isolate p:
p = -918.83096 / 82.78

Step 6: Perform the division to find the value of p:
p ≈ -11.097

So, when solving for p in the equation 82.78(p + 11.892) = 72.8464, the solution is p ≈ -11.097.