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Simplifying (4x) * ln * 5 = ((x2) * ln * 5) + -1ln * 5 Remove parenthesis around (4x) 4x * ln * 5 = ((x2) * ln * 5) + -1ln * 5 Reorder the terms for easier multiplication: 4 * 5x * ln = ((x2) * ln * 5) + -1ln * 5 Multiply 4 * 5 20x * ln = ((x2) * ln * 5) + -1ln * 5 Multiply x * ln 20lnx = ((x2) * ln * 5) + -1ln * 5 Reorder the terms for easier multiplication: 20lnx = (5x2 * ln) + -1ln * 5 Multiply x2 * ln 20lnx = (5lnx2) + -1ln * 5 Reorder the terms for easier multiplication: 20lnx = (5lnx2) + -1 * 5ln Multiply -1 * 5 20lnx = (5lnx2) + -5ln Reorder the terms: 20lnx = -5ln + (5lnx2) Solving 20lnx = -5ln + (5lnx2) Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. 5ln + 20lnx = -5ln + 5ln + (5lnx2) Combine like terms: -5ln + 5ln = 0 5ln + 20lnx = 0 + (5lnx2) 5ln + 20lnx = (5lnx2) Add '(-5lnx2)' to each side of the equation. 5ln + 20lnx + (-5lnx2) = (5lnx2) + (-5lnx2) Combine like terms: (5lnx2) + (-5lnx2) = 0 5ln + 20lnx + (-5lnx2) = 0 Factor out the Greatest Common Factor (GCF), '5ln'. 5ln(1 + 4x + (-1x2)) = 0 Ignore the factor 5.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 '(1 + 4x + (-1x2))' equal to zero and attempt to solve: Simplifying 1 + 4x + (-1x2) = 0 Solving 1 + 4x + (-1x2) = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x + -1 + (-1x2) = 0 + -1 Reorder the terms: 1 + -1 + 4x + (-1x2) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x + (-1x2) = 0 + -1 4x + (-1x2) = 0 + -1 Combine like terms: 0 + -1 = -1 4x + (-1x2) = -1 Add '-4x' to each side of the equation. 4x + -4x + (-1x2) = -1 + -4x Combine like terms: 4x + -4x = 0 0 + (-1x2) = -1 + -4x (-1x2) = -1 + -4x Add '(x2)' to each side of the equation. (-1x2) + (x2) = -1 + -4x + (x2) (-1x2) + x2 = -1 + -4x + (x2) Combine like terms: (-1x2) + x2 = 0 0 = -1 + -4x + (x2) 0 = -1 + -4x + x2 Simplifying 0 = -1 + -4x + x2 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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