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Simplifying x4 + -1296 = 0 Reorder the terms: -1296 + x4 = 0 Solving -1296 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1296' to each side of the equation. -1296 + 1296 + x4 = 0 + 1296 Combine like terms: -1296 + 1296 = 0 0 + x4 = 0 + 1296 x4 = 0 + 1296 Combine like terms: 0 + 1296 = 1296 x4 = 1296 Simplifying x4 = 1296 Reorder the terms: -1296 + x4 = 1296 + -1296 Combine like terms: 1296 + -1296 = 0 -1296 + x4 = 0 Factor a difference between two squares. (36 + x2)(-36 + x2) = 0 Factor a difference between two squares. (36 + x2)((6 + x)(-6 + x)) = 0Subproblem 1
Set the factor '(36 + x2)' equal to zero and attempt to solve: Simplifying 36 + x2 = 0 Solving 36 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x2 = 0 + -36 x2 = 0 + -36 Combine like terms: 0 + -36 = -36 x2 = -36 Simplifying x2 = -36 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 3
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {-6, 6}
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