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Simplifying 2x(x + 1)(-2e2x) = 0 Reorder the terms: 2x(1 + x)(-2e2x) = 0 Remove parenthesis around (-2e2x) 2x(1 + x) * -2e2x = 0 Reorder the terms for easier multiplication: 2 * -2x * e2x(1 + x) = 0 Multiply 2 * -2 -4x * e2x(1 + x) = 0 Multiply x * e2x -4e2x2(1 + x) = 0 (1 * -4e2x2 + x * -4e2x2) = 0 (-4e2x2 + -4e2x3) = 0 Solving -4e2x2 + -4e2x3 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-4e2x2'. -4e2x2(1 + x) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'e2x2' equal to zero and attempt to solve: Simplifying e2x2 = 0 Solving e2x2 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x2 = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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