What is the solution of 82.78(p+11.892)=72.8464 when solving for p? DO NOT ROUND YOUR ANSWER. and the answer is not -11.01204

Answer 1

To solve the equation 82.78(p+11.892)=72.8464 for p without rounding the answer, we can follow these steps:

1. Start by distributing the 82.78 to the terms inside the parentheses:
82.78p + (82.78)(11.892) = 72.8464

2. Multiply 82.78 by 11.892:
82.78p + 981.83496 = 72.8464

3. Subtract 981.83496 from both sides of the equation to isolate the variable term:
82.78p = 72.8464 - 981.83496
82.78p = -908.98856

4. Divide both sides of the equation by 82.78 to solve for p:
p = (-908.98856) / 82.78

Thus, the exact solution for p without rounding is p = -10.9719382954.