6p^2+1=p

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Solution for 6p^2+1=p equation:


Simplifying
6p2 + 1 = p

Reorder the terms:
1 + 6p2 = p

Solving
1 + 6p2 = p

Solving for variable 'p'.

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

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

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

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

Move the constant term to the right:

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

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

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

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

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 = -0.1666666667 + 0.006944444447

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

Combine like terms: -0.1666666667 + 0.006944444447 = -0.159722222253
0.006944444447 + -0.1666666667p + p2 = -0.159722222253

Factor a perfect square on the left side:
(p + -0.08333333335)(p + -0.08333333335) = -0.159722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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