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Simplifying 6 = 12e4k Solving 6 = 12e4k Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e4k' to each side of the equation. 6 + -12e4k = 12e4k + -12e4k Combine like terms: 12e4k + -12e4k = 0 6 + -12e4k = 0 Add '-6' to each side of the equation. 6 + -6 + -12e4k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -12e4k = 0 + -6 -12e4k = 0 + -6 Combine like terms: 0 + -6 = -6 -12e4k = -6 Divide each side by '-12k'. e4 = 0.5k-1 Simplifying e4 = 0.5k-1 Combine like terms: 0.5k-1 + -0.5k-1 = 0.0 e4 + -0.5k-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'k-1'. k-1(e4k + -0.5) = 0.0Subproblem 1
Set the factor 'k-1' equal to zero and attempt to solve: Simplifying k-1 = 0 Solving k-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1k-1' to each side of the equation. k-1 + -1k-1 = 0 + -1k-1 Remove the zero: 0 = -1k-1 Simplifying 0 = -1k-1 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 '(e4k + -0.5)' equal to zero and attempt to solve: Simplifying e4k + -0.5 = 0 Reorder the terms: -0.5 + e4k = 0 Solving -0.5 + e4k = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + e4k = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + e4k = 0 + 0.5 e4k = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 e4k = 0.5 Divide each side by 'k'. e4 = 0.5k-1 Simplifying e4 = 0.5k-1 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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