6p^2-p^3+6p^4=

Solution for 6p^2-p^3+6p^4= equation:

Simplifying
6p2 + -1p3 + 6p4 = 0

Solving
6p2 + -1p3 + 6p4 = 0

Solving for variable 'p'.

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

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(6 + -1p + 6p2)' equal to zero and attempt to solve:

Simplifying
6 + -1p + 6p2 = 0

Solving
6 + -1p + 6p2 = 0

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

Divide each side by '6'.
1 + -0.1666666667p + p2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.1666666667p + -1 + p2 = 0 + -1

Reorder the terms:
1 + -1 + -0.1666666667p + p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1666666667p + p2 = 0 + -1
-0.1666666667p + p2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.1666666667p + p2 = -1

The p term is -0.1666666667p.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667p + 0.006944444447 + p2 = -1 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667p + p2 = -1 + 0.006944444447

Combine like terms: -1 + 0.006944444447 = -0.993055555553
0.006944444447 + -0.1666666667p + p2 = -0.993055555553

Factor a perfect square on the left side:
(p + -0.08333333335)(p + -0.08333333335) = -0.993055555553

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.
Solution
p = {0}