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Simplifying Ln * 48 + -1ln * x = ln * 4w Reorder the terms for easier multiplication: 48nL + -1ln * x = ln * 4w Multiply ln * x 48nL + -1lnx = ln * 4w Reorder the terms: -1lnx + 48nL = ln * 4w Reorder the terms for easier multiplication: -1lnx + 48nL = 4ln * w Multiply ln * w -1lnx + 48nL = 4lnw Solving -1lnx + 48nL = 4lnw Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnw' to each side of the equation. -1lnx + -4lnw + 48nL = 4lnw + -4lnw Reorder the terms: -4lnw + -1lnx + 48nL = 4lnw + -4lnw Combine like terms: 4lnw + -4lnw = 0 -4lnw + -1lnx + 48nL = 0 Add '-48nL' to each side of the equation. -4lnw + -1lnx + 48nL + -48nL = 0 + -48nL Combine like terms: 48nL + -48nL = 0 -4lnw + -1lnx + 0 = 0 + -48nL -4lnw + -1lnx = 0 + -48nL Remove the zero: -4lnw + -1lnx = -48nL Combine like terms: -48nL + 48nL = 0 -4lnw + -1lnx + 48nL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-4lw + -1lx + 48L) = 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 '(-4lw + -1lx + 48L)' equal to zero and attempt to solve: Simplifying -4lw + -1lx + 48L = 0 Reorder the terms: 48L + -4lw + -1lx = 0 Solving 48L + -4lw + -1lx = 0 Move all terms containing l to the left, all other terms to the right. Add '-48L' to each side of the equation. 48L + -4lw + -48L + -1lx = 0 + -48L Reorder the terms: 48L + -48L + -4lw + -1lx = 0 + -48L Combine like terms: 48L + -48L = 0 0 + -4lw + -1lx = 0 + -48L -4lw + -1lx = 0 + -48L Remove the zero: -4lw + -1lx = -48L 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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