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Simplifying 0 = 2x * ln(x3 + 4x) Reorder the terms: 0 = 2x * ln(4x + x3) Multiply x * ln 0 = 2lnx(4x + x3) 0 = (4x * 2lnx + x3 * 2lnx) 0 = (8lnx2 + 2lnx4) Solving 0 = 8lnx2 + 2lnx4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8lnx2' to each side of the equation. 0 + -8lnx2 = 8lnx2 + -8lnx2 + 2lnx4 Remove the zero: -8lnx2 = 8lnx2 + -8lnx2 + 2lnx4 Combine like terms: 8lnx2 + -8lnx2 = 0 -8lnx2 = 0 + 2lnx4 -8lnx2 = 2lnx4 Add '-2lnx4' to each side of the equation. -8lnx2 + -2lnx4 = 2lnx4 + -2lnx4 Combine like terms: 2lnx4 + -2lnx4 = 0 -8lnx2 + -2lnx4 = 0 Factor out the Greatest Common Factor (GCF), '-2lnx2'. -2lnx2(4 + x2) = 0 Ignore the factor -2.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 '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Add '-1x2' to each side of the equation. x2 + -1x2 = -4 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -4 + -1x2 Simplifying 0 = -4 + -1x2 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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