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Simplifying 0 = ln(x2 + 4y2) 0 = (x2 * ln + 4y2 * ln) 0 = (lnx2 + 4lny2) Solving 0 = lnx2 + 4lny2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx2' to each side of the equation. 0 + -1lnx2 = lnx2 + -1lnx2 + 4lny2 Remove the zero: -1lnx2 = lnx2 + -1lnx2 + 4lny2 Combine like terms: lnx2 + -1lnx2 = 0 -1lnx2 = 0 + 4lny2 -1lnx2 = 4lny2 Add '-4lny2' to each side of the equation. -1lnx2 + -4lny2 = 4lny2 + -4lny2 Combine like terms: 4lny2 + -4lny2 = 0 -1lnx2 + -4lny2 = 0 Factor out the Greatest Common Factor (GCF), '-1ln'. -1ln(x2 + 4y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(x2 + 4y2)' equal to zero and attempt to solve: Simplifying x2 + 4y2 = 0 Solving x2 + 4y2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + 4y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 4y2 = 0 + -1x2 4y2 = 0 + -1x2 Remove the zero: 4y2 = -1x2 Add '-4y2' to each side of the equation. 4y2 + -4y2 = -1x2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = -1x2 + -4y2 Simplifying 0 = -1x2 + -4y2 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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