-11p^2+8p=9

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Solution for -11p^2+8p=9 equation:


Simplifying
-11p2 + 8p = 9

Reorder the terms:
8p + -11p2 = 9

Solving
8p + -11p2 = 9

Solving for variable 'p'.

Reorder the terms:
-9 + 8p + -11p2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 8p + -11p2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
0.8181818182 + -0.7272727273p + p2 = 0

Move the constant term to the right:

Add '-0.8181818182' to each side of the equation.
0.8181818182 + -0.7272727273p + -0.8181818182 + p2 = 0 + -0.8181818182

Reorder the terms:
0.8181818182 + -0.8181818182 + -0.7272727273p + p2 = 0 + -0.8181818182

Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000
0.0000000000 + -0.7272727273p + p2 = 0 + -0.8181818182
-0.7272727273p + p2 = 0 + -0.8181818182

Combine like terms: 0 + -0.8181818182 = -0.8181818182
-0.7272727273p + p2 = -0.8181818182

The p term is -0.7272727273p.  Take half its coefficient (-0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
-0.7272727273p + 0.1322314050 + p2 = -0.8181818182 + 0.1322314050

Reorder the terms:
0.1322314050 + -0.7272727273p + p2 = -0.8181818182 + 0.1322314050

Combine like terms: -0.8181818182 + 0.1322314050 = -0.6859504132
0.1322314050 + -0.7272727273p + p2 = -0.6859504132

Factor a perfect square on the left side:
(p + -0.3636363637)(p + -0.3636363637) = -0.6859504132

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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