3(p+3)(p+3)+4(p+3)+7=

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Solution for 3(p+3)(p+3)+4(p+3)+7= equation: 


Simplifying
3(p + 3)(p + 3) + 4(p + 3) + 7 = 0

Reorder the terms:
3(3 + p)(p + 3) + 4(p + 3) + 7 = 0

Reorder the terms:
3(3 + p)(3 + p) + 4(p + 3) + 7 = 0

Multiply (3 + p) * (3 + p)
3(3(3 + p) + p(3 + p)) + 4(p + 3) + 7 = 0
3((3 * 3 + p * 3) + p(3 + p)) + 4(p + 3) + 7 = 0
3((9 + 3p) + p(3 + p)) + 4(p + 3) + 7 = 0
3(9 + 3p + (3 * p + p * p)) + 4(p + 3) + 7 = 0
3(9 + 3p + (3p + p2)) + 4(p + 3) + 7 = 0

Combine like terms: 3p + 3p = 6p
3(9 + 6p + p2) + 4(p + 3) + 7 = 0
(9 * 3 + 6p * 3 + p2 * 3) + 4(p + 3) + 7 = 0
(27 + 18p + 3p2) + 4(p + 3) + 7 = 0

Reorder the terms:
27 + 18p + 3p2 + 4(3 + p) + 7 = 0
27 + 18p + 3p2 + (3 * 4 + p * 4) + 7 = 0
27 + 18p + 3p2 + (12 + 4p) + 7 = 0

Reorder the terms:
27 + 12 + 7 + 18p + 4p + 3p2 = 0

Combine like terms: 27 + 12 = 39
39 + 7 + 18p + 4p + 3p2 = 0

Combine like terms: 39 + 7 = 46
46 + 18p + 4p + 3p2 = 0

Combine like terms: 18p + 4p = 22p
46 + 22p + 3p2 = 0

Solving
46 + 22p + 3p2 = 0

Solving for variable 'p'.

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

Divide each side by '3'.
15.33333333 + 7.333333333p + p2 = 0

Move the constant term to the right:

Add '-15.33333333' to each side of the equation.
15.33333333 + 7.333333333p + -15.33333333 + p2 = 0 + -15.33333333

Reorder the terms:
15.33333333 + -15.33333333 + 7.333333333p + p2 = 0 + -15.33333333

Combine like terms: 15.33333333 + -15.33333333 = 0.00000000
0.00000000 + 7.333333333p + p2 = 0 + -15.33333333
7.333333333p + p2 = 0 + -15.33333333

Combine like terms: 0 + -15.33333333 = -15.33333333
7.333333333p + p2 = -15.33333333

The p term is 7.333333333p.  Take half its coefficient (3.666666667).
Square it (13.44444445) and add it to both sides.

Add '13.44444445' to each side of the equation.
7.333333333p + 13.44444445 + p2 = -15.33333333 + 13.44444445

Reorder the terms:
13.44444445 + 7.333333333p + p2 = -15.33333333 + 13.44444445

Combine like terms: -15.33333333 + 13.44444445 = -1.88888888
13.44444445 + 7.333333333p + p2 = -1.88888888

Factor a perfect square on the left side:
(p + 3.666666667)(p + 3.666666667) = -1.88888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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