log((p^2)-(q^2))=0

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Solution for log((p^2)-(q^2))=0 equation:


Simplifying
log((p2) + -1(q2)) = 0
glo(p2 + -1(q2)) = 0
(p2 * glo + -1q2 * glo) = 0
(glop2 + -1gloq2) = 0

Solving
glop2 + -1gloq2 = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(p2 + -1q2) = 0

Factor a difference between two squares.
glo((p + q)(p + -1q)) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(p + q)' equal to zero and attempt to solve: Simplifying p + q = 0 Solving p + q = 0 Move all terms containing g to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p + q = 0 + -1p Combine like terms: p + -1p = 0 0 + q = 0 + -1p q = 0 + -1p Remove the zero: q = -1p Add '-1q' to each side of the equation. q + -1q = -1p + -1q Combine like terms: q + -1q = 0 0 = -1p + -1q Simplifying 0 = -1p + -1q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(p + -1q)' equal to zero and attempt to solve: Simplifying p + -1q = 0 Solving p + -1q = 0 Move all terms containing g to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p + -1q = 0 + -1p Combine like terms: p + -1p = 0 0 + -1q = 0 + -1p -1q = 0 + -1p Remove the zero: -1q = -1p Add 'q' to each side of the equation. -1q + q = -1p + q Combine like terms: -1q + q = 0 0 = -1p + q Simplifying 0 = -1p + q 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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