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Simplifying 6e2 * x = 7e4 * x Multiply e2 * x 6e2x = 7e4 * x Multiply e4 * x 6e2x = 7e4x Solving 6e2x = 7e4x Solving for variable 'e'. Combine like terms: 7e4x + -7e4x = 0 6e2x + -7e4x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(6 + -7e2) = 0Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 '(6 + -7e2)' equal to zero and attempt to solve: Simplifying 6 + -7e2 = 0 Solving 6 + -7e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7e2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7e2 = 0 + -6 -7e2 = 0 + -6 Combine like terms: 0 + -6 = -6 -7e2 = -6 Divide each side by '-7'. e2 = 0.8571428571 Simplifying e2 = 0.8571428571 Take the square root of each side: e = {-0.9258201, 0.9258201}Solution
e = {-0.9258201, 0.9258201}
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