7p^2-9p=-8

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


Simplifying
7p2 + -9p = -8

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

Solving
-9p + 7p2 = -8

Solving for variable 'p'.

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

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

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

Divide each side by '7'.
1.142857143 + -1.285714286p + p2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + -1.285714286p + -1.142857143 + p2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + -1.285714286p + p2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + -1.285714286p + p2 = 0 + -1.142857143
-1.285714286p + p2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
-1.285714286p + p2 = -1.142857143

The p term is -1.285714286p.  Take half its coefficient (-0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
-1.285714286p + 0.4132653063 + p2 = -1.142857143 + 0.4132653063

Reorder the terms:
0.4132653063 + -1.285714286p + p2 = -1.142857143 + 0.4132653063

Combine like terms: -1.142857143 + 0.4132653063 = -0.7295918367
0.4132653063 + -1.285714286p + p2 = -0.7295918367

Factor a perfect square on the left side:
(p + -0.642857143)(p + -0.642857143) = -0.7295918367

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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