3p^2+6p+45=9

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Solution for 3p^2+6p+45=9 equation:


Simplifying
3p2 + 6p + 45 = 9

Reorder the terms:
45 + 6p + 3p2 = 9

Solving
45 + 6p + 3p2 = 9

Solving for variable 'p'.

Reorder the terms:
45 + -9 + 6p + 3p2 = 9 + -9

Combine like terms: 45 + -9 = 36
36 + 6p + 3p2 = 9 + -9

Combine like terms: 9 + -9 = 0
36 + 6p + 3p2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 2p + p2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(12 + 2p + p2)' equal to zero and attempt to solve: Simplifying 12 + 2p + p2 = 0 Solving 12 + 2p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2p + -12 + p2 = 0 + -12 Reorder the terms: 12 + -12 + 2p + p2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2p + p2 = 0 + -12 2p + p2 = 0 + -12 Combine like terms: 0 + -12 = -12 2p + p2 = -12 The p term is 2p. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2p + 1 + p2 = -12 + 1 Reorder the terms: 1 + 2p + p2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + 2p + p2 = -11 Factor a perfect square on the left side: (p + 1)(p + 1) = -11 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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