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Simplifying 10e3x = 2e5x Solving 10e3x = 2e5x Solving for variable 'e'. Combine like terms: 2e5x + -2e5x = 0 10e3x + -2e5x = 0 Factor out the Greatest Common Factor (GCF), '2e3x'. 2e3x(5 + -1e2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e3x' equal to zero and attempt to solve: Simplifying e3x = 0 Solving e3x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3x = 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 '(5 + -1e2)' equal to zero and attempt to solve: Simplifying 5 + -1e2 = 0 Solving 5 + -1e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1e2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1e2 = 0 + -5 -1e2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1e2 = -5 Divide each side by '-1'. e2 = 5 Simplifying e2 = 5 Take the square root of each side: e = {-2.236067978, 2.236067978}Solution
e = {-2.236067978, 2.236067978}
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