27p^2-9p+18=0

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Solution for 27p^2-9p+18=0 equation: 


Simplifying
27p2 + -9p + 18 = 0

Reorder the terms:
18 + -9p + 27p2 = 0

Solving
18 + -9p + 27p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '9'.
9(2 + -1p + 3p2) = 0

Ignore the factor 9.

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

Simplifying
2 + -1p + 3p2 = 0

Solving
2 + -1p + 3p2 = 0

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

Divide each side by '3'.
0.6666666667 + -0.3333333333p + p2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333p + -0.6666666667 + p2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333p + p2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333p + p2 = 0 + -0.6666666667
-0.3333333333p + p2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333p + p2 = -0.6666666667

The p term is -0.3333333333p.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333p + 0.02777777779 + p2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333p + p2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + -0.3333333333p + p2 = -0.63888888891

Factor a perfect square on the left side:
(p + -0.1666666667)(p + -0.1666666667) = -0.63888888891

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.

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