9p^2+3p+45=0

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Solution for 9p^2+3p+45=0 equation: 


Simplifying
9p2 + 3p + 45 = 0

Reorder the terms:
45 + 3p + 9p2 = 0

Solving
45 + 3p + 9p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(15 + p + 3p2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(15 + p + 3p2)' equal to zero and attempt to solve:

Simplifying
15 + p + 3p2 = 0

Solving
15 + p + 3p2 = 0

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

Divide each side by '3'.
5 + 0.3333333333p + p2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 0.3333333333p + -5 + p2 = 0 + -5

Reorder the terms:
5 + -5 + 0.3333333333p + p2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 0.3333333333p + p2 = 0 + -5
0.3333333333p + p2 = 0 + -5

Combine like terms: 0 + -5 = -5
0.3333333333p + p2 = -5

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333p + 0.25 + p2 = -5 + 0.25

Reorder the terms:
0.25 + 0.3333333333p + p2 = -5 + 0.25

Combine like terms: -5 + 0.25 = -4.75
0.25 + 0.3333333333p + p2 = -4.75

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -4.75

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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