(3p^2+p+7)+(6p+1)=

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Solution for (3p^2+p+7)+(6p+1)= equation: 


Simplifying
(3p2 + p + 7) + (6p + 1) = 0

Reorder the terms:
(7 + p + 3p2) + (6p + 1) = 0

Remove parenthesis around (7 + p + 3p2)
7 + p + 3p2 + (6p + 1) = 0

Reorder the terms:
7 + p + 3p2 + (1 + 6p) = 0

Remove parenthesis around (1 + 6p)
7 + p + 3p2 + 1 + 6p = 0

Reorder the terms:
7 + 1 + p + 6p + 3p2 = 0

Combine like terms: 7 + 1 = 8
8 + p + 6p + 3p2 = 0

Combine like terms: p + 6p = 7p
8 + 7p + 3p2 = 0

Solving
8 + 7p + 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'.
2.666666667 + 2.333333333p + p2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 2.333333333p + -2.666666667 + p2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 2.333333333p + p2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 2.333333333p + p2 = 0 + -2.666666667
2.333333333p + p2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
2.333333333p + p2 = -2.666666667

The p term is 2.333333333p.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333p + 1.361111112 + p2 = -2.666666667 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333p + p2 = -2.666666667 + 1.361111112

Combine like terms: -2.666666667 + 1.361111112 = -1.305555555
1.361111112 + 2.333333333p + p2 = -1.305555555

Factor a perfect square on the left side:
(p + 1.166666667)(p + 1.166666667) = -1.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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