p^2-2p-1+4p-6-3p^2=

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Solution for p^2-2p-1+4p-6-3p^2= equation:


Simplifying
p2 + -2p + -1 + 4p + -6 + -3p2 = 0

Reorder the terms:
-1 + -6 + -2p + 4p + p2 + -3p2 = 0

Combine like terms: -1 + -6 = -7
-7 + -2p + 4p + p2 + -3p2 = 0

Combine like terms: -2p + 4p = 2p
-7 + 2p + p2 + -3p2 = 0

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

Solving
-7 + 2p + -2p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3.5 + -1p + p2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1p + -3.5 + p2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1p + p2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1p + p2 = 0 + -3.5
-1p + p2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1p + p2 = -3.5

The p term is -1p.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1p + 0.25 + p2 = -3.5 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -3.5 + 0.25

Combine like terms: -3.5 + 0.25 = -3.25
0.25 + -1p + p2 = -3.25

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -3.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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