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Simplifying x3 + -1e4x = 0 Reorder the terms: -1e4x + x3 = 0 Solving -1e4x + x3 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1x3' to each side of the equation. -1e4x + x3 + -1x3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 -1e4x + 0 = 0 + -1x3 -1e4x = 0 + -1x3 Remove the zero: -1e4x = -1x3 Divide each side by '-1x'. e4 = x2 Simplifying e4 = x2 Combine like terms: x2 + -1x2 = 0 e4 + -1x2 = 0 Factor a difference between two squares. (e2 + x)(e2 + -1x) = 0Subproblem 1
Set the factor '(e2 + x)' equal to zero and attempt to solve: Simplifying e2 + x = 0 Solving e2 + x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x' to each side of the equation. e2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 e2 + 0 = 0 + -1x e2 = 0 + -1x Remove the zero: e2 = -1x Simplifying e2 = -1x 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 '(e2 + -1x)' equal to zero and attempt to solve: Simplifying e2 + -1x = 0 Solving e2 + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add 'x' to each side of the equation. e2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 e2 + 0 = 0 + x e2 = 0 + x Remove the zero: e2 = x Simplifying e2 = x 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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