(3p^2+2p+3)+(p^2-7p+7)=

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


Simplifying
(3p2 + 2p + 3) + (p2 + -7p + 7) = 0

Reorder the terms:
(3 + 2p + 3p2) + (p2 + -7p + 7) = 0

Remove parenthesis around (3 + 2p + 3p2)
3 + 2p + 3p2 + (p2 + -7p + 7) = 0

Reorder the terms:
3 + 2p + 3p2 + (7 + -7p + p2) = 0

Remove parenthesis around (7 + -7p + p2)
3 + 2p + 3p2 + 7 + -7p + p2 = 0

Reorder the terms:
3 + 7 + 2p + -7p + 3p2 + p2 = 0

Combine like terms: 3 + 7 = 10
10 + 2p + -7p + 3p2 + p2 = 0

Combine like terms: 2p + -7p = -5p
10 + -5p + 3p2 + p2 = 0

Combine like terms: 3p2 + p2 = 4p2
10 + -5p + 4p2 = 0

Solving
10 + -5p + 4p2 = 0

Solving for variable 'p'.

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

Divide each side by '4'.
2.5 + -1.25p + p2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.25p + -2.5 + p2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.25p + p2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.25p + p2 = 0 + -2.5
-1.25p + p2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.25p + p2 = -2.5

The p term is -1.25p.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25p + 0.390625 + p2 = -2.5 + 0.390625

Reorder the terms:
0.390625 + -1.25p + p2 = -2.5 + 0.390625

Combine like terms: -2.5 + 0.390625 = -2.109375
0.390625 + -1.25p + p2 = -2.109375

Factor a perfect square on the left side:
(p + -0.625)(p + -0.625) = -2.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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