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Simplifying (1 + -8x) * ln11 = (2x + 3) * ln9 Reorder the terms for easier multiplication: ln11(1 + -8x) = (2x + 3) * ln9 (1 * ln11 + -8x * ln11) = (2x + 3) * ln9 (1ln11 + -8ln11x) = (2x + 3) * ln9 Reorder the terms: 1ln11 + -8ln11x = (3 + 2x) * ln9 Reorder the terms for easier multiplication: 1ln11 + -8ln11x = ln9(3 + 2x) 1ln11 + -8ln11x = (3 * ln9 + 2x * ln9) 1ln11 + -8ln11x = (3ln9 + 2ln9x) Solving 1ln11 + -8ln11x = 3ln9 + 2ln9x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln9' to each side of the equation. 1ln11 + -3ln9 + -8ln11x = 3ln9 + -3ln9 + 2ln9x Reorder the terms: -3ln9 + 1ln11 + -8ln11x = 3ln9 + -3ln9 + 2ln9x Combine like terms: 3ln9 + -3ln9 = 0 -3ln9 + 1ln11 + -8ln11x = 0 + 2ln9x -3ln9 + 1ln11 + -8ln11x = 2ln9x Add '-2ln9x' to each side of the equation. -3ln9 + 1ln11 + -2ln9x + -8ln11x = 2ln9x + -2ln9x Reorder the terms: -3ln9 + -2ln9x + 1ln11 + -8ln11x = 2ln9x + -2ln9x Combine like terms: 2ln9x + -2ln9x = 0 -3ln9 + -2ln9x + 1ln11 + -8ln11x = 0 Factor out the Greatest Common Factor (GCF), 'ln9'. ln9(-3 + -2x + n2 + -8n2x) = 0Subproblem 1
Set the factor 'ln9' equal to zero and attempt to solve: Simplifying ln9 = 0 Solving ln9 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln9 = 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 '(-3 + -2x + n2 + -8n2x)' equal to zero and attempt to solve: Simplifying -3 + -2x + n2 + -8n2x = 0 Reorder the terms: -3 + n2 + -8n2x + -2x = 0 Solving -3 + n2 + -8n2x + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + n2 + -8n2x + 3 + -2x = 0 + 3 Reorder the terms: -3 + 3 + n2 + -8n2x + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + n2 + -8n2x + -2x = 0 + 3 n2 + -8n2x + -2x = 0 + 3 Combine like terms: 0 + 3 = 3 n2 + -8n2x + -2x = 3 Add '-1n2' to each side of the equation. n2 + -8n2x + -1n2 + -2x = 3 + -1n2 Reorder the terms: n2 + -1n2 + -8n2x + -2x = 3 + -1n2 Combine like terms: n2 + -1n2 = 0 0 + -8n2x + -2x = 3 + -1n2 -8n2x + -2x = 3 + -1n2 Add '8n2x' to each side of the equation. -8n2x + 8n2x + -2x = 3 + -1n2 + 8n2x Combine like terms: -8n2x + 8n2x = 0 0 + -2x = 3 + -1n2 + 8n2x -2x = 3 + -1n2 + 8n2x Add '2x' to each side of the equation. -2x + 2x = 3 + -1n2 + 8n2x + 2x Combine like terms: -2x + 2x = 0 0 = 3 + -1n2 + 8n2x + 2x Simplifying 0 = 3 + -1n2 + 8n2x + 2x 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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