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Simplifying 56 = 4e3x Solving 56 = 4e3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e3x' to each side of the equation. 56 + -4e3x = 4e3x + -4e3x Combine like terms: 4e3x + -4e3x = 0 56 + -4e3x = 0 Add '-56' to each side of the equation. 56 + -56 + -4e3x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -4e3x = 0 + -56 -4e3x = 0 + -56 Combine like terms: 0 + -56 = -56 -4e3x = -56 Divide each side by '-4x'. e3 = 14x-1 Simplifying e3 = 14x-1 Combine like terms: 14x-1 + -14x-1 = 0 e3 + -14x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -14) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e3x + -14)' equal to zero and attempt to solve: Simplifying e3x + -14 = 0 Reorder the terms: -14 + e3x = 0 Solving -14 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + e3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + e3x = 0 + 14 e3x = 0 + 14 Combine like terms: 0 + 14 = 14 e3x = 14 Divide each side by 'x'. e3 = 14x-1 Simplifying e3 = 14x-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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