6p^2=-6p-6

Solution for 6p^2=-6p-6 equation:

Simplifying
6p2 = -6p + -6

Reorder the terms:
6p2 = -6 + -6p

Solving
6p2 = -6 + -6p

Solving for variable 'p'.

Reorder the terms:
6 + 6p + 6p2 = -6 + -6p + 6 + 6p

Reorder the terms:
6 + 6p + 6p2 = -6 + 6 + -6p + 6p

Combine like terms: -6 + 6 = 0
6 + 6p + 6p2 = 0 + -6p + 6p
6 + 6p + 6p2 = -6p + 6p

Combine like terms: -6p + 6p = 0
6 + 6p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + p + p2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + p + p2)' equal to zero and attempt to solve:

Simplifying
1 + p + p2 = 0

Solving
1 + p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + p + -1 + p2 = 0 + -1

Reorder the terms:
1 + -1 + p + p2 = 0 + -1

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

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

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
p + 0.25 + p2 = -1 + 0.25

Reorder the terms:
0.25 + p + p2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + p + p2 = -0.75

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.