ln(3+x)*ln(x+1)=0

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Solution for ln(3+x)*ln(x+1)=0 equation:


Simplifying
ln(3 + x) * ln(x + 1) = 0

Reorder the terms:
ln(3 + x) * ln(1 + x) = 0

Reorder the terms for easier multiplication:
ln * ln(3 + x)(1 + x) = 0

Multiply ln * ln
l2n2(3 + x)(1 + x) = 0

Multiply (3 + x) * (1 + x)
l2n2(3(1 + x) + x(1 + x)) = 0
l2n2((1 * 3 + x * 3) + x(1 + x)) = 0
l2n2((3 + 3x) + x(1 + x)) = 0
l2n2(3 + 3x + (1 * x + x * x)) = 0
l2n2(3 + 3x + (1x + x2)) = 0

Combine like terms: 3x + 1x = 4x
l2n2(3 + 4x + x2) = 0
(3 * l2n2 + 4x * l2n2 + x2 * l2n2) = 0
(3l2n2 + 4l2n2x + l2n2x2) = 0

Solving
3l2n2 + 4l2n2x + l2n2x2 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'l2n2'.
l2n2(3 + 4x + x2) = 0

Factor a trinomial.
l2n2((3 + x)(1 + x)) = 0

Subproblem 1

Set the factor 'l2n2' equal to zero and attempt to solve: Simplifying l2n2 = 0 Solving l2n2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2n2 = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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