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Simplifying n(x2 + 1) + -3ln(x) = ln(2) Reorder the terms: n(1 + x2) + -3ln(x) = ln(2) (1 * n + x2 * n) + -3ln(x) = ln(2) (1n + nx2) + -3ln(x) = ln(2) Multiply ln * x 1n + nx2 + -3lnx = ln(2) Reorder the terms: -3lnx + 1n + nx2 = ln(2) Reorder the terms for easier multiplication: -3lnx + 1n + nx2 = 2ln Solving -3lnx + 1n + nx2 = 2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -3lnx + 1n + -2ln + nx2 = 2ln + -2ln Reorder the terms: -2ln + -3lnx + 1n + nx2 = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -2ln + -3lnx + 1n + nx2 = 0 Add '-1n' to each side of the equation. -2ln + -3lnx + 1n + -1n + nx2 = 0 + -1n Combine like terms: 1n + -1n = 0 -2ln + -3lnx + 0 + nx2 = 0 + -1n -2ln + -3lnx + nx2 = 0 + -1n Remove the zero: -2ln + -3lnx + nx2 = -1n Add '-1nx2' to each side of the equation. -2ln + -3lnx + nx2 + -1nx2 = -1n + -1nx2 Combine like terms: nx2 + -1nx2 = 0 -2ln + -3lnx + 0 = -1n + -1nx2 -2ln + -3lnx = -1n + -1nx2 Reorder the terms: -2ln + -3lnx + n + nx2 = -1n + n + -1nx2 + nx2 Combine like terms: -1n + n = 0 -2ln + -3lnx + n + nx2 = 0 + -1nx2 + nx2 -2ln + -3lnx + n + nx2 = -1nx2 + nx2 Combine like terms: -1nx2 + nx2 = 0 -2ln + -3lnx + n + nx2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2l + -3lx + 1 + x2) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-2l + -3lx + 1 + x2)' equal to zero and attempt to solve: Simplifying -2l + -3lx + 1 + x2 = 0 Reorder the terms: 1 + -2l + -3lx + x2 = 0 Solving 1 + -2l + -3lx + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2l + -3lx + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -2l + -3lx + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2l + -3lx + x2 = 0 + -1 -2l + -3lx + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2l + -3lx + x2 = -1 Add '-1x2' to each side of the equation. -2l + -3lx + x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 -2l + -3lx + 0 = -1 + -1x2 -2l + -3lx = -1 + -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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