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Simplifying e4x = 7e6x Solving e4x = 7e6x Solving for variable 'e'. Combine like terms: 7e6x + -7e6x = 0 e4x + -7e6x = 0 Factor out the Greatest Common Factor (GCF), 'e4x'. e4x(1 + -7e2) = 0Subproblem 1
Set the factor 'e4x' equal to zero and attempt to solve: Simplifying e4x = 0 Solving e4x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x = 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 '(1 + -7e2)' equal to zero and attempt to solve: Simplifying 1 + -7e2 = 0 Solving 1 + -7e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7e2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7e2 = 0 + -1 -7e2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7e2 = -1 Divide each side by '-7'. e2 = 0.1428571429 Simplifying e2 = 0.1428571429 Take the square root of each side: e = {-0.377964473, 0.377964473}Solution
e = {-0.377964473, 0.377964473}
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