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Simplifying 7ln(x2 + 25) + -14lnz = 0 Reorder the terms: 7ln(25 + x2) + -14lnz = 0 (25 * 7ln + x2 * 7ln) + -14lnz = 0 (175ln + 7lnx2) + -14lnz = 0 Solving 175ln + 7lnx2 + -14lnz = 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), '7ln'. 7ln(25 + x2 + -2z) = 0 Ignore the factor 7.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 '(25 + x2 + -2z)' equal to zero and attempt to solve: Simplifying 25 + x2 + -2z = 0 Solving 25 + x2 + -2z = 0 Move all terms containing l to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + x2 + -25 + -2z = 0 + -25 Reorder the terms: 25 + -25 + x2 + -2z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x2 + -2z = 0 + -25 x2 + -2z = 0 + -25 Combine like terms: 0 + -25 = -25 x2 + -2z = -25 Add '-1x2' to each side of the equation. x2 + -1x2 + -2z = -25 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -2z = -25 + -1x2 -2z = -25 + -1x2 Add '2z' to each side of the equation. -2z + 2z = -25 + -1x2 + 2z Combine like terms: -2z + 2z = 0 0 = -25 + -1x2 + 2z Simplifying 0 = -25 + -1x2 + 2z 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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