-9p(-6p+2)=-2p-9

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Solution for -9p(-6p+2)=-2p-9 equation:


Simplifying
-9p(-6p + 2) = -2p + -9

Reorder the terms:
-9p(2 + -6p) = -2p + -9
(2 * -9p + -6p * -9p) = -2p + -9
(-18p + 54p2) = -2p + -9

Reorder the terms:
-18p + 54p2 = -9 + -2p

Solving
-18p + 54p2 = -9 + -2p

Solving for variable 'p'.

Reorder the terms:
9 + -18p + 2p + 54p2 = -9 + -2p + 9 + 2p

Combine like terms: -18p + 2p = -16p
9 + -16p + 54p2 = -9 + -2p + 9 + 2p

Reorder the terms:
9 + -16p + 54p2 = -9 + 9 + -2p + 2p

Combine like terms: -9 + 9 = 0
9 + -16p + 54p2 = 0 + -2p + 2p
9 + -16p + 54p2 = -2p + 2p

Combine like terms: -2p + 2p = 0
9 + -16p + 54p2 = 0

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

Divide each side by '54'.
0.1666666667 + -0.2962962963p + p2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.2962962963p + -0.1666666667 + p2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.2962962963p + p2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.2962962963p + p2 = 0 + -0.1666666667
-0.2962962963p + p2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.2962962963p + p2 = -0.1666666667

The p term is -0.2962962963p.  Take half its coefficient (-0.1481481482).
Square it (0.02194787382) and add it to both sides.

Add '0.02194787382' to each side of the equation.
-0.2962962963p + 0.02194787382 + p2 = -0.1666666667 + 0.02194787382

Reorder the terms:
0.02194787382 + -0.2962962963p + p2 = -0.1666666667 + 0.02194787382

Combine like terms: -0.1666666667 + 0.02194787382 = -0.14471879288
0.02194787382 + -0.2962962963p + p2 = -0.14471879288

Factor a perfect square on the left side:
(p + -0.1481481482)(p + -0.1481481482) = -0.14471879288

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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