p^2+(1.2)(p)+1.2=1

Solution for p^2+(1.2)(p)+1.2=1 equation:

Simplifying
p2 + (1.2)(p) + 1.2 = 1

Reorder the terms:
1.2 + 1.2p + p2 = 1

Solving
1.2 + 1.2p + p2 = 1

Solving for variable 'p'.

Reorder the terms:
1.2 + -1 + 1.2p + p2 = 1 + -1

Combine like terms: 1.2 + -1 = 0.2
0.2 + 1.2p + p2 = 1 + -1

Combine like terms: 1 + -1 = 0
0.2 + 1.2p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 1.2p + -0.2 + p2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 1.2p + p2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1.2p + p2 = 0 + -0.2
1.2p + p2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
1.2p + p2 = -0.2

The p term is 1.2p.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2p + 0.36 + p2 = -0.2 + 0.36

Reorder the terms:
0.36 + 1.2p + p2 = -0.2 + 0.36

Combine like terms: -0.2 + 0.36 = 0.16
0.36 + 1.2p + p2 = 0.16

Factor a perfect square on the left side:
(p + 0.6)(p + 0.6) = 0.16

Calculate the square root of the right side: 0.4

Break this problem into two subproblems by setting 
(p + 0.6) equal to 0.4 and -0.4.

Subproblem 1
p + 0.6 = 0.4

Simplifying
p + 0.6 = 0.4

Reorder the terms:
0.6 + p = 0.4

Solving
0.6 + p = 0.4

Solving for variable 'p'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + p = 0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + p = 0.4 + -0.6
p = 0.4 + -0.6

Combine like terms: 0.4 + -0.6 = -0.2
p = -0.2

Simplifying
p = -0.2

Subproblem 2
p + 0.6 = -0.4

Simplifying
p + 0.6 = -0.4

Reorder the terms:
0.6 + p = -0.4

Solving
0.6 + p = -0.4

Solving for variable 'p'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + p = -0.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + p = -0.4 + -0.6
p = -0.4 + -0.6

Combine like terms: -0.4 + -0.6 = -1
p = -1

Simplifying
p = -1

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {-0.2, -1}