-63=p^2+2p

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Solution for -63=p^2+2p equation:


Simplifying
-63 = p2 + 2p

Reorder the terms:
-63 = 2p + p2

Solving
-63 = 2p + p2

Solving for variable 'p'.

Reorder the terms:
-63 + -2p + -1p2 = 2p + -2p + p2 + -1p2

Combine like terms: 2p + -2p = 0
-63 + -2p + -1p2 = 0 + p2 + -1p2
-63 + -2p + -1p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
-63 + -2p + -1p2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(63 + 2p + p2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(63 + 2p + p2)' equal to zero and attempt to solve: Simplifying 63 + 2p + p2 = 0 Solving 63 + 2p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-63' to each side of the equation. 63 + 2p + -63 + p2 = 0 + -63 Reorder the terms: 63 + -63 + 2p + p2 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 2p + p2 = 0 + -63 2p + p2 = 0 + -63 Combine like terms: 0 + -63 = -63 2p + p2 = -63 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 = -63 + 1 Reorder the terms: 1 + 2p + p2 = -63 + 1 Combine like terms: -63 + 1 = -62 1 + 2p + p2 = -62 Factor a perfect square on the left side: (p + 1)(p + 1) = -62 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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