6p^2-p=-2

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Solution for 6p^2-p=-2 equation:


Simplifying
6p2 + -1p = -2

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

Solving
-1p + 6p2 = -2

Solving for variable 'p'.

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

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

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

Divide each side by '6'.
0.3333333333 + -0.1666666667p + p2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.1666666667p + -0.3333333333 + p2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.1666666667p + p2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.1666666667p + p2 = 0 + -0.3333333333
-0.1666666667p + p2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.1666666667p + p2 = -0.3333333333

The p term is -0.1666666667p.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667p + 0.006944444447 + p2 = -0.3333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667p + p2 = -0.3333333333 + 0.006944444447

Combine like terms: -0.3333333333 + 0.006944444447 = -0.326388888853
0.006944444447 + -0.1666666667p + p2 = -0.326388888853

Factor a perfect square on the left side:
(p + -0.08333333335)(p + -0.08333333335) = -0.326388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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