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Simplifying x4 + -14641 = 0 Reorder the terms: -14641 + x4 = 0 Solving -14641 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14641' to each side of the equation. -14641 + 14641 + x4 = 0 + 14641 Combine like terms: -14641 + 14641 = 0 0 + x4 = 0 + 14641 x4 = 0 + 14641 Combine like terms: 0 + 14641 = 14641 x4 = 14641 Simplifying x4 = 14641 Reorder the terms: -14641 + x4 = 14641 + -14641 Combine like terms: 14641 + -14641 = 0 -14641 + x4 = 0 Factor a difference between two squares. (121 + x2)(-121 + x2) = 0 Factor a difference between two squares. (121 + x2)((11 + x)(-11 + x)) = 0Subproblem 1
Set the factor '(121 + x2)' equal to zero and attempt to solve: Simplifying 121 + x2 = 0 Solving 121 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + x2 = 0 + -121 Combine like terms: 121 + -121 = 0 0 + x2 = 0 + -121 x2 = 0 + -121 Combine like terms: 0 + -121 = -121 x2 = -121 Simplifying x2 = -121 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 3
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Solution
x = {-11, 11}
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