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Simplifying 4e8 + -64 = 0 Reorder the terms: -64 + 4e8 = 0 Solving -64 + 4e8 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 4e8 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 4e8 = 0 + 64 4e8 = 0 + 64 Combine like terms: 0 + 64 = 64 4e8 = 64 Divide each side by '4'. e8 = 16 Simplifying e8 = 16 Reorder the terms: -16 + e8 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + e8 = 0 Factor a difference between two squares. (4 + e4)(-4 + e4) = 0 Factor a difference between two squares. (4 + e4)((2 + e2)(-2 + e2)) = 0Subproblem 1
Set the factor '(4 + e4)' equal to zero and attempt to solve: Simplifying 4 + e4 = 0 Solving 4 + e4 = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + e4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + e4 = 0 + -4 e4 = 0 + -4 Combine like terms: 0 + -4 = -4 e4 = -4 Simplifying e4 = -4 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 '(2 + e2)' equal to zero and attempt to solve: Simplifying 2 + e2 = 0 Solving 2 + e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e2 = 0 + -2 e2 = 0 + -2 Combine like terms: 0 + -2 = -2 e2 = -2 Simplifying e2 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + e2)' equal to zero and attempt to solve: Simplifying -2 + e2 = 0 Solving -2 + e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e2 = 0 + 2 e2 = 0 + 2 Combine like terms: 0 + 2 = 2 e2 = 2 Simplifying e2 = 2 Take the square root of each side: e = {-1.414213562, 1.414213562}Solution
e = {-1.414213562, 1.414213562}
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