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Simplifying 0 = x2ln(x + 2) Reorder the terms: 0 = lnx2(2 + x) 0 = (2 * lnx2 + x * lnx2) 0 = (2lnx2 + lnx3) Solving 0 = 2lnx2 + lnx3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx2' to each side of the equation. 0 + -2lnx2 = 2lnx2 + -2lnx2 + lnx3 Remove the zero: -2lnx2 = 2lnx2 + -2lnx2 + lnx3 Combine like terms: 2lnx2 + -2lnx2 = 0 -2lnx2 = 0 + lnx3 -2lnx2 = lnx3 Add '-1lnx3' to each side of the equation. -2lnx2 + -1lnx3 = lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 -2lnx2 + -1lnx3 = 0 Factor out the Greatest Common Factor (GCF), '-1lnx2'. -1lnx2(2 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'lnx2' equal to zero and attempt to solve: Simplifying lnx2 = 0 Solving lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx2 = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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