3=6p^2+6p*-6p+6p

Solution for 3=6p^2+6p*-6p+6p equation:

Simplifying
3 = 6p2 + 6p * -6p + 6p

Reorder the terms for easier multiplication:
3 = 6p2 + 6 * -6p * p + 6p

Multiply 6 * -6
3 = 6p2 + -36p * p + 6p

Multiply p * p
3 = 6p2 + -36p2 + 6p

Reorder the terms:
3 = 6p + 6p2 + -36p2

Combine like terms: 6p2 + -36p2 = -30p2
3 = 6p + -30p2

Solving
3 = 6p + -30p2

Solving for variable 'p'.

Reorder the terms:
3 + -6p + 30p2 = 6p + -6p + -30p2 + 30p2

Combine like terms: 6p + -6p = 0
3 + -6p + 30p2 = 0 + -30p2 + 30p2
3 + -6p + 30p2 = -30p2 + 30p2

Combine like terms: -30p2 + 30p2 = 0
3 + -6p + 30p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -2p + 10p2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -2p + 10p2)' equal to zero and attempt to solve:

Simplifying
1 + -2p + 10p2 = 0

Solving
1 + -2p + 10p2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
0.1 + -0.2p + p2 = 0.0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -0.2p + -0.1 + p2 = 0.0 + -0.1

Reorder the terms:
0.1 + -0.1 + -0.2p + p2 = 0.0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.2p + p2 = 0.0 + -0.1
-0.2p + p2 = 0.0 + -0.1

Combine like terms: 0.0 + -0.1 = -0.1
-0.2p + p2 = -0.1

The p term is -0.2p.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2p + 0.01 + p2 = -0.1 + 0.01

Reorder the terms:
0.01 + -0.2p + p2 = -0.1 + 0.01

Combine like terms: -0.1 + 0.01 = -0.09
0.01 + -0.2p + p2 = -0.09

Factor a perfect square on the left side:
(p + -0.1)(p + -0.1) = -0.09

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.