9p^2+9=-5p

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Solution for 9p^2+9=-5p equation:


Simplifying
9p2 + 9 = -5p

Reorder the terms:
9 + 9p2 = -5p

Solving
9 + 9p2 = -5p

Solving for variable 'p'.

Reorder the terms:
9 + 5p + 9p2 = -5p + 5p

Combine like terms: -5p + 5p = 0
9 + 5p + 9p2 = 0

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

Divide each side by '9'.
1 + 0.5555555556p + p2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.5555555556p + -1 + p2 = 0 + -1

Reorder the terms:
1 + -1 + 0.5555555556p + p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5555555556p + p2 = 0 + -1
0.5555555556p + p2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.5555555556p + p2 = -1

The p term is 0.5555555556p.  Take half its coefficient (0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
0.5555555556p + 0.07716049384 + p2 = -1 + 0.07716049384

Reorder the terms:
0.07716049384 + 0.5555555556p + p2 = -1 + 0.07716049384

Combine like terms: -1 + 0.07716049384 = -0.92283950616
0.07716049384 + 0.5555555556p + p2 = -0.92283950616

Factor a perfect square on the left side:
(p + 0.2777777778)(p + 0.2777777778) = -0.92283950616

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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