9p^2-18p+107=8

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Solution for 9p^2-18p+107=8 equation:


Simplifying
9p2 + -18p + 107 = 8

Reorder the terms:
107 + -18p + 9p2 = 8

Solving
107 + -18p + 9p2 = 8

Solving for variable 'p'.

Reorder the terms:
107 + -8 + -18p + 9p2 = 8 + -8

Combine like terms: 107 + -8 = 99
99 + -18p + 9p2 = 8 + -8

Combine like terms: 8 + -8 = 0
99 + -18p + 9p2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(11 + -2p + p2) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(11 + -2p + p2)' equal to zero and attempt to solve: Simplifying 11 + -2p + p2 = 0 Solving 11 + -2p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -2p + -11 + p2 = 0 + -11 Reorder the terms: 11 + -11 + -2p + p2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2p + p2 = 0 + -11 -2p + p2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2p + p2 = -11 The p term is -2p. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2p + 1 + p2 = -11 + 1 Reorder the terms: 1 + -2p + p2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + -2p + p2 = -10 Factor a perfect square on the left side: (p + -1)(p + -1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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