(3p^2-2p+1)+(5p^2+4p)=

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Solution for (3p^2-2p+1)+(5p^2+4p)= equation:


Simplifying
(3p2 + -2p + 1) + (5p2 + 4p) = 0

Reorder the terms:
(1 + -2p + 3p2) + (5p2 + 4p) = 0

Remove parenthesis around (1 + -2p + 3p2)
1 + -2p + 3p2 + (5p2 + 4p) = 0

Reorder the terms:
1 + -2p + 3p2 + (4p + 5p2) = 0

Remove parenthesis around (4p + 5p2)
1 + -2p + 3p2 + 4p + 5p2 = 0

Reorder the terms:
1 + -2p + 4p + 3p2 + 5p2 = 0

Combine like terms: -2p + 4p = 2p
1 + 2p + 3p2 + 5p2 = 0

Combine like terms: 3p2 + 5p2 = 8p2
1 + 2p + 8p2 = 0

Solving
1 + 2p + 8p2 = 0

Solving for variable 'p'.

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

Divide each side by '8'.
0.125 + 0.25p + p2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + 0.25p + -0.125 + p2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + 0.25p + p2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + 0.25p + p2 = 0 + -0.125
0.25p + p2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
0.25p + p2 = -0.125

The p term is 0.25p.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25p + 0.015625 + p2 = -0.125 + 0.015625

Reorder the terms:
0.015625 + 0.25p + p2 = -0.125 + 0.015625

Combine like terms: -0.125 + 0.015625 = -0.109375
0.015625 + 0.25p + p2 = -0.109375

Factor a perfect square on the left side:
(p + 0.125)(p + 0.125) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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