p^2-18p+270=0

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Solution for p^2-18p+270=0 equation:


Simplifying
p2 + -18p + 270 = 0

Reorder the terms:
270 + -18p + p2 = 0

Solving
270 + -18p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-270' to each side of the equation.
270 + -18p + -270 + p2 = 0 + -270

Reorder the terms:
270 + -270 + -18p + p2 = 0 + -270

Combine like terms: 270 + -270 = 0
0 + -18p + p2 = 0 + -270
-18p + p2 = 0 + -270

Combine like terms: 0 + -270 = -270
-18p + p2 = -270

The p term is -18p.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18p + 81 + p2 = -270 + 81

Reorder the terms:
81 + -18p + p2 = -270 + 81

Combine like terms: -270 + 81 = -189
81 + -18p + p2 = -189

Factor a perfect square on the left side:
(p + -9)(p + -9) = -189

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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