-9p^2+6p=8

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Solution for -9p^2+6p=8 equation:


Simplifying
-9p2 + 6p = 8

Reorder the terms:
6p + -9p2 = 8

Solving
6p + -9p2 = 8

Solving for variable 'p'.

Reorder the terms:
-8 + 6p + -9p2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 6p + -9p2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.8888888889 + -0.6666666667p + p2 = 0

Move the constant term to the right:

Add '-0.8888888889' to each side of the equation.
0.8888888889 + -0.6666666667p + -0.8888888889 + p2 = 0 + -0.8888888889

Reorder the terms:
0.8888888889 + -0.8888888889 + -0.6666666667p + p2 = 0 + -0.8888888889

Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000
0.0000000000 + -0.6666666667p + p2 = 0 + -0.8888888889
-0.6666666667p + p2 = 0 + -0.8888888889

Combine like terms: 0 + -0.8888888889 = -0.8888888889
-0.6666666667p + p2 = -0.8888888889

The p term is -0.6666666667p.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667p + 0.1111111112 + p2 = -0.8888888889 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667p + p2 = -0.8888888889 + 0.1111111112

Combine like terms: -0.8888888889 + 0.1111111112 = -0.7777777777
0.1111111112 + -0.6666666667p + p2 = -0.7777777777

Factor a perfect square on the left side:
(p + -0.3333333334)(p + -0.3333333334) = -0.7777777777

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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