Question
What is the solution of 82.78(p+11.892)=72.8464 when solving for p ? Do not round your answer.(1 point)
p=
p = -2.5947165784404996
To solve for p in the equation 82.78(p+11.892)=72.8464, we can follow these steps:
Step 1: Start by distributing the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
Step 2: Multiply 82.78 by 11.892 to get:
82.78p + 981.84136 = 72.8464
Step 3: Subtract 981.84136 from both sides of the equation:
82.78p = 72.8464 - 981.84136
Step 4: Simplify the right side of the equation:
82.78p = -908.99496
Step 5: Divide both sides of the equation by 82.78 to isolate p:
p = -908.99496 / 82.78
Therefore, the solution for p is p = -10.972202137778855.
Note: The answer is not rounded as per the instructions.
To find the solution for the equation 82.78(p+11.892)=72.8464 when solving for p, we need to isolate the variable p.
Step 1: Distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
Step 2: Simplify the equation by multiplying:
82.78p + 982.016 = 72.8464
Step 3: Move the constant term to the other side of the equation by subtracting 982.016 from both sides:
82.78p = 72.8464 - 982.016
Step 4: Simplify the equation further:
82.78p = -909.1696
Step 5: Solve for p by dividing both sides of the equation by 82.78:
p = -909.1696 / 82.78
Step 6: Calculate the value of p:
p ≈ -10.9645 (when rounded to four decimal places)
Therefore, the solution for p in the given equation is approximately -10.9645.