9p^2-8p-3=-9

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Solution for 9p^2-8p-3=-9 equation:


Simplifying
9p2 + -8p + -3 = -9

Reorder the terms:
-3 + -8p + 9p2 = -9

Solving
-3 + -8p + 9p2 = -9

Solving for variable 'p'.

Reorder the terms:
-3 + 9 + -8p + 9p2 = -9 + 9

Combine like terms: -3 + 9 = 6
6 + -8p + 9p2 = -9 + 9

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

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

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

Move the constant term to the right:

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

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

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

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

The p term is -0.8888888889p.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889p + 0.1975308642 + p2 = -0.6666666667 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889p + p2 = -0.6666666667 + 0.1975308642

Combine like terms: -0.6666666667 + 0.1975308642 = -0.4691358025
0.1975308642 + -0.8888888889p + p2 = -0.4691358025

Factor a perfect square on the left side:
(p + -0.4444444445)(p + -0.4444444445) = -0.4691358025

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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