7p^2+p-3=-9

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Solution for 7p^2+p-3=-9 equation:


Simplifying
7p2 + p + -3 = -9

Reorder the terms:
-3 + p + 7p2 = -9

Solving
-3 + p + 7p2 = -9

Solving for variable 'p'.

Reorder the terms:
-3 + 9 + p + 7p2 = -9 + 9

Combine like terms: -3 + 9 = 6
6 + p + 7p2 = -9 + 9

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

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

Divide each side by '7'.
0.8571428571 + 0.1428571429p + p2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 0.1428571429p + -0.8571428571 + p2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 0.1428571429p + p2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 0.1428571429p + p2 = 0 + -0.8571428571
0.1428571429p + p2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
0.1428571429p + p2 = -0.8571428571

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1428571429p + 0.25 + p2 = -0.8571428571 + 0.25

Reorder the terms:
0.25 + 0.1428571429p + p2 = -0.8571428571 + 0.25

Combine like terms: -0.8571428571 + 0.25 = -0.6071428571
0.25 + 0.1428571429p + p2 = -0.6071428571

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.6071428571

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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