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Simplifying e9x = 49e7x Solving e9x = 49e7x Solving for variable 'e'. Reorder the terms: -49e7x + e9x = 49e7x + -49e7x Combine like terms: 49e7x + -49e7x = 0 -49e7x + e9x = 0 Factor out the Greatest Common Factor (GCF), 'e7x'. e7x(-49 + e2) = 0 Factor a difference between two squares. e7x((7 + e)(-7 + e)) = 0Subproblem 1
Set the factor 'e7x' equal to zero and attempt to solve: Simplifying e7x = 0 Solving e7x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e7x = 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 '(7 + e)' equal to zero and attempt to solve: Simplifying 7 + e = 0 Solving 7 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + e = 0 + -7 Combine like terms: 7 + -7 = 0 0 + e = 0 + -7 e = 0 + -7 Combine like terms: 0 + -7 = -7 e = -7 Simplifying e = -7Subproblem 3
Set the factor '(-7 + e)' equal to zero and attempt to solve: Simplifying -7 + e = 0 Solving -7 + e = 0 Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + e = 0 + 7 Combine like terms: -7 + 7 = 0 0 + e = 0 + 7 e = 0 + 7 Combine like terms: 0 + 7 = 7 e = 7 Simplifying e = 7Solution
e = {-7, 7}
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