ln(a)+2a=0

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Solution for ln(a)+2a=0 equation:


Simplifying
ln(a) + 2a = 0

Multiply ln * a
aln + 2a = 0

Reorder the terms:
2a + aln = 0

Solving
2a + aln = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(2 + ln) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(2 + ln)' equal to zero and attempt to solve: Simplifying 2 + ln = 0 Solving 2 + ln = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + ln = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ln = 0 + -2 ln = 0 + -2 Combine like terms: 0 + -2 = -2 ln = -2 Add '-1ln' to each side of the equation. ln + -1ln = -2 + -1ln Combine like terms: ln + -1ln = 0 0 = -2 + -1ln Simplifying 0 = -2 + -1ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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