27p^2-9p+18=

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Solution for 27p^2-9p+18= 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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