-27p+30p^2-18p^3=

Solution for -27p+30p^2-18p^3= equation:

Simplifying
-27p + 30p2 + -18p3 = 0

Solving
-27p + 30p2 + -18p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-9 + 10p + -6p2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-9 + 10p + -6p2)' equal to zero and attempt to solve:

Simplifying
-9 + 10p + -6p2 = 0

Solving
-9 + 10p + -6p2 = 0

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

Divide each side by '-6'.
1.5 + -1.666666667p + p2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.666666667p + -1.5 + p2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.666666667p + p2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.666666667p + p2 = 0 + -1.5
-1.666666667p + p2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.666666667p + p2 = -1.5

The p term is -1.666666667p.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667p + 0.6944444447 + p2 = -1.5 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667p + p2 = -1.5 + 0.6944444447

Combine like terms: -1.5 + 0.6944444447 = -0.8055555553
0.6944444447 + -1.666666667p + p2 = -0.8055555553

Factor a perfect square on the left side:
(p + -0.8333333335)(p + -0.8333333335) = -0.8055555553

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}