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Simplifying ln(8x2 + -5x + 1) = 0 Reorder the terms: ln(1 + -5x + 8x2) = 0 (1 * ln + -5x * ln + 8x2 * ln) = 0 (1ln + -5lnx + 8lnx2) = 0 Solving 1ln + -5lnx + 8lnx2 = 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), 'ln'. ln(1 + -5x + 8x2) = 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 '(1 + -5x + 8x2)' equal to zero and attempt to solve: Simplifying 1 + -5x + 8x2 = 0 Solving 1 + -5x + 8x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5x + -1 + 8x2 = 0 + -1 Reorder the terms: 1 + -1 + -5x + 8x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x + 8x2 = 0 + -1 -5x + 8x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5x + 8x2 = -1 Add '5x' to each side of the equation. -5x + 5x + 8x2 = -1 + 5x Combine like terms: -5x + 5x = 0 0 + 8x2 = -1 + 5x 8x2 = -1 + 5x Add '-8x2' to each side of the equation. 8x2 + -8x2 = -1 + 5x + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 = -1 + 5x + -8x2 Simplifying 0 = -1 + 5x + -8x2 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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