9p^2-4p=-2

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Solution for 9p^2-4p=-2 equation:


Simplifying
9p2 + -4p = -2

Reorder the terms:
-4p + 9p2 = -2

Solving
-4p + 9p2 = -2

Solving for variable 'p'.

Reorder the terms:
2 + -4p + 9p2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -4p + 9p2 = 0

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

Divide each side by '9'.
0.2222222222 + -0.4444444444p + p2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -0.4444444444p + -0.2222222222 + p2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -0.4444444444p + p2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -0.4444444444p + p2 = 0 + -0.2222222222
-0.4444444444p + p2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-0.4444444444p + p2 = -0.2222222222

The p term is -0.4444444444p.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444p + 0.04938271604 + p2 = -0.2222222222 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444p + p2 = -0.2222222222 + 0.04938271604

Combine like terms: -0.2222222222 + 0.04938271604 = -0.17283950616
0.04938271604 + -0.4444444444p + p2 = -0.17283950616

Factor a perfect square on the left side:
(p + -0.2222222222)(p + -0.2222222222) = -0.17283950616

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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