8p^2=9p-7

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Solution for 8p^2=9p-7 equation:


Simplifying
8p2 = 9p + -7

Reorder the terms:
8p2 = -7 + 9p

Solving
8p2 = -7 + 9p

Solving for variable 'p'.

Reorder the terms:
7 + -9p + 8p2 = -7 + 9p + 7 + -9p

Reorder the terms:
7 + -9p + 8p2 = -7 + 7 + 9p + -9p

Combine like terms: -7 + 7 = 0
7 + -9p + 8p2 = 0 + 9p + -9p
7 + -9p + 8p2 = 9p + -9p

Combine like terms: 9p + -9p = 0
7 + -9p + 8p2 = 0

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

Divide each side by '8'.
0.875 + -1.125p + p2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + -1.125p + -0.875 + p2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + -1.125p + p2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + -1.125p + p2 = 0 + -0.875
-1.125p + p2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
-1.125p + p2 = -0.875

The p term is -1.125p.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125p + 0.31640625 + p2 = -0.875 + 0.31640625

Reorder the terms:
0.31640625 + -1.125p + p2 = -0.875 + 0.31640625

Combine like terms: -0.875 + 0.31640625 = -0.55859375
0.31640625 + -1.125p + p2 = -0.55859375

Factor a perfect square on the left side:
(p + -0.5625)(p + -0.5625) = -0.55859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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