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Simplifying (x2 * e3x) + (5x * e3x) + -1(e3x) = 0 Multiply x2 * e3x (e3x3) + (5x * e3x) + -1(e3x) = 0 e3x3 + (5x * e3x) + -1(e3x) = 0 Multiply x * e3x e3x3 + (5e3x2) + -1(e3x) = 0 Reorder the terms: -1e3x + (5e3x2) + e3x3 = 0 Solving -1e3x + (5e3x2) + e3x3 = 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), 'e3x'. e3x(-1 + (5x) + x2) = 0Subproblem 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 '(-1 + (5x) + x2)' equal to zero and attempt to solve: Simplifying -1 + (5x) + x2 = 0 Solving -1 + (5x) + x2 = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + (5x) + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + (5x) + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + (5x) + x2 = 0 + 1 (5x) + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 (5x) + x2 = 1 Add '(-5x)' to each side of the equation. (5x) + (-5x) + x2 = 1 + (-5x) Combine like terms: (5x) + (-5x) = 0 0 + x2 = 1 + (-5x) x2 = 1 + (-5x) Add '-1x2' to each side of the equation. x2 + -1x2 = 1 + (-5x) + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + (-5x) + -1x2 Simplifying 0 = 1 + (-5x) + -1x2 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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