2p+p^2-1*60=

Solution for 2p+p^2-1*60= equation:

Simplifying
2p + p2 + -1 * 60 = 0

Multiply -1 * 60
2p + p2 + -60 = 0

Reorder the terms:
-60 + 2p + p2 = 0

Solving
-60 + 2p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + 2p + 60 + p2 = 0 + 60

Reorder the terms:
-60 + 60 + 2p + p2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 2p + p2 = 0 + 60
2p + p2 = 0 + 60

Combine like terms: 0 + 60 = 60
2p + p2 = 60

The p term is 2p.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2p + 1 + p2 = 60 + 1

Reorder the terms:
1 + 2p + p2 = 60 + 1

Combine like terms: 60 + 1 = 61
1 + 2p + p2 = 61

Factor a perfect square on the left side:
(p + 1)(p + 1) = 61

Calculate the square root of the right side: 7.810249676

Break this problem into two subproblems by setting 
(p + 1) equal to 7.810249676 and -7.810249676.

Subproblem 1
p + 1 = 7.810249676

Simplifying
p + 1 = 7.810249676

Reorder the terms:
1 + p = 7.810249676

Solving
1 + p = 7.810249676

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + p = 7.810249676 + -1

Combine like terms: 1 + -1 = 0
0 + p = 7.810249676 + -1
p = 7.810249676 + -1

Combine like terms: 7.810249676 + -1 = 6.810249676
p = 6.810249676

Simplifying
p = 6.810249676

Subproblem 2
p + 1 = -7.810249676

Simplifying
p + 1 = -7.810249676

Reorder the terms:
1 + p = -7.810249676

Solving
1 + p = -7.810249676

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + p = -7.810249676 + -1

Combine like terms: 1 + -1 = 0
0 + p = -7.810249676 + -1
p = -7.810249676 + -1

Combine like terms: -7.810249676 + -1 = -8.810249676
p = -8.810249676

Simplifying
p = -8.810249676

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {6.810249676, -8.810249676}