what is the solution of 82.78 ( p + 11.892 ) = 72.8464 when solving for P do not round your answer
To solve the equation 82.78(p + 11.892) = 72.8464 for p, let's begin by isolating p on one side of the equation.
82.78(p + 11.892) = 72.8464
First, distribute 82.78 to both terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
The value of 82.78 multiplied by 11.892 is:
982.11296
Substituting the value above into the equation:
82.78p + 982.11296 = 72.8464
Next, subtract 982.11296 from both sides to isolate 82.78p:
82.78p = 72.8464 - 982.11296
Simplifying the right side of the equation:
82.78p = -909.26656
Finally, divide both sides by 82.78 to solve for p:
p = (-909.26656) / 82.78
p ≈ -10.97
So, when solving for p without rounding the answer, we get p ≈ -10.97.
To solve the equation 82.78 ( p + 11.892 ) = 72.8464 for P, we need to follow the steps below:
1. Distribute the 82.78 to the terms inside the parentheses:
82.78p + 82.78(11.892) = 72.8464
2. Simplify the expression inside the parentheses:
82.78p + 980.80136 = 72.8464
3. Move the constant term (980.80136) to the other side by subtracting it from both sides of the equation:
82.78p = 72.8464 - 980.80136
4. Perform the subtraction on the right side:
82.78p = -907.95496
5. Divide both sides of the equation by 82.78 to isolate P:
p = -907.95496 / 82.78
6. Calculate the division:
p ≈ -10.960379
Therefore, the solution to the equation 82.78 ( p + 11.892 ) = 72.8464 when solving for P without rounding is approximately p = -10.960379.
To solve the equation 82.78(p+11.892) = 72.8464 for p without rounding, we will follow these steps:
1. Begin by distributing 82.78 to the terms inside the parentheses:
82.78p + 82.78 * 11.892 = 72.8464
2. Multiply 82.78 by 11.892 to get the product:
82.78p + 982.91736 = 72.8464
3. Next, subtract 982.91736 from both sides of the equation to isolate the term with p:
82.78p = 72.8464 - 982.91736
4. Simplify the right-hand side:
82.78p = -910.07096
5. Finally, divide both sides of the equation by 82.78 to solve for p:
p = (-910.07096) / 82.78
The solution to the equation, without rounding, is:
p ≈ -10.99