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Simplifying lm(2x) = 2ln(7x) Remove parenthesis around (2x) lm * 2x = 2ln(7x) Reorder the terms for easier multiplication: 2lm * x = 2ln(7x) Multiply lm * x 2lmx = 2ln(7x) Remove parenthesis around (7x) 2lmx = 2ln * 7x Reorder the terms for easier multiplication: 2lmx = 2 * 7ln * x Multiply 2 * 7 2lmx = 14ln * x Multiply ln * x 2lmx = 14lnx Solving 2lmx = 14lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14lnx' to each side of the equation. 2lmx + -14lnx = 14lnx + -14lnx Combine like terms: 14lnx + -14lnx = 0 2lmx + -14lnx = 0 Factor out the Greatest Common Factor (GCF), '2lx'. 2lx(m + -7n) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'lx' equal to zero and attempt to solve: Simplifying lx = 0 Solving lx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lx = 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 '(m + -7n)' equal to zero and attempt to solve: Simplifying m + -7n = 0 Solving m + -7n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1m' to each side of the equation. m + -1m + -7n = 0 + -1m Combine like terms: m + -1m = 0 0 + -7n = 0 + -1m -7n = 0 + -1m Remove the zero: -7n = -1m Add '7n' to each side of the equation. -7n + 7n = -1m + 7n Combine like terms: -7n + 7n = 0 0 = -1m + 7n Simplifying 0 = -1m + 7n 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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