What is the solution of 82.78(p+11.892)=72.8464

Question

when solving for p
?

Answer 1

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

1. Distribute the left side: \[ 82.78p + 82.78 \times 11.892 = 72.8464 \] First, calculate \( 82.78 \times 11.892 \): \[ 82.78 \times 11.892 \approx 986.024856 \] So the equation becomes: \[ 82.78p + 986.024856 = 72.8464 \]

2. Isolate the term with \( p \): Subtract \( 986.024856 \) from both sides: \[ 82.78p = 72.8464 - 986.024856 \]

3. Calculate the right side: \[ 72.8464 - 986.024856 \approx -913.178456 \] So now the equation is: \[ 82.78p = -913.178456 \]

4. Solve for \( p \): Divide both sides by \( 82.78 \): \[ p = \frac{-913.178456}{82.78} \approx -11.0301 \]

Thus the solution for \( p \) is approximately: \[ \boxed{-11.0301} \]