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Simplifying e8x = 9e6x Solving e8x = 9e6x Solving for variable 'e'. Reorder the terms: -9e6x + e8x = 9e6x + -9e6x Combine like terms: 9e6x + -9e6x = 0 -9e6x + e8x = 0 Factor out the Greatest Common Factor (GCF), 'e6x'. e6x(-9 + e2) = 0 Factor a difference between two squares. e6x((3 + e)(-3 + e)) = 0Subproblem 1
Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 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 '(3 + e)' equal to zero and attempt to solve: Simplifying 3 + e = 0 Solving 3 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + e = 0 + -3 Combine like terms: 3 + -3 = 0 0 + e = 0 + -3 e = 0 + -3 Combine like terms: 0 + -3 = -3 e = -3 Simplifying e = -3Subproblem 3
Set the factor '(-3 + e)' equal to zero and attempt to solve: Simplifying -3 + e = 0 Solving -3 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + e = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e = 0 + 3 e = 0 + 3 Combine like terms: 0 + 3 = 3 e = 3 Simplifying e = 3Solution
e = {-3, 3}
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