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Simplifying ln(m) = 0.5(ln(x2 + -1y)) Multiply ln * m lmn = 0.5(ln(x2 + -1y)) lmn = 0.5((x2 * ln + -1y * ln)) lmn = 0.5((lnx2 + -1lny)) lmn = (lnx2 * 0.5 + -1lny * 0.5) lmn = (0.5lnx2 + -0.5lny) Solving lmn = 0.5lnx2 + -0.5lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.5lnx2' to each side of the equation. lmn + -0.5lnx2 = 0.5lnx2 + -0.5lnx2 + -0.5lny Combine like terms: 0.5lnx2 + -0.5lnx2 = 0.0 lmn + -0.5lnx2 = 0.0 + -0.5lny lmn + -0.5lnx2 = -0.5lny Add '0.5lny' to each side of the equation. lmn + -0.5lnx2 + 0.5lny = -0.5lny + 0.5lny Combine like terms: -0.5lny + 0.5lny = 0.0 lmn + -0.5lnx2 + 0.5lny = 0.0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(m + -0.5x2 + 0.5y) = 0.0Subproblem 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 '(m + -0.5x2 + 0.5y)' equal to zero and attempt to solve: Simplifying m + -0.5x2 + 0.5y = 0 Solving m + -0.5x2 + 0.5y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1m' to each side of the equation. m + -0.5x2 + -1m + 0.5y = 0 + -1m Reorder the terms: m + -1m + -0.5x2 + 0.5y = 0 + -1m Combine like terms: m + -1m = 0 0 + -0.5x2 + 0.5y = 0 + -1m -0.5x2 + 0.5y = 0 + -1m Remove the zero: -0.5x2 + 0.5y = -1m Add '0.5x2' to each side of the equation. -0.5x2 + 0.5x2 + 0.5y = -1m + 0.5x2 Combine like terms: -0.5x2 + 0.5x2 = 0.0 0.0 + 0.5y = -1m + 0.5x2 0.5y = -1m + 0.5x2 Add '-0.5y' to each side of the equation. 0.5y + -0.5y = -1m + 0.5x2 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.0 = -1m + 0.5x2 + -0.5y Simplifying 0.0 = -1m + 0.5x2 + -0.5y 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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