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Simplifying x2 + 8 + -1x4 + 64 = 0 Reorder the terms: 8 + 64 + x2 + -1x4 = 0 Combine like terms: 8 + 64 = 72 72 + x2 + -1x4 = 0 Solving 72 + x2 + -1x4 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x2)(8 + x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(8 + x2) = 0Subproblem 1
Set the factor '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -8 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3, 3}
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