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Simplifying x4 = 73x2 + -576 Reorder the terms: x4 = -576 + 73x2 Solving x4 = -576 + 73x2 Solving for variable 'x'. Reorder the terms: 576 + -73x2 + x4 = -576 + 73x2 + 576 + -73x2 Reorder the terms: 576 + -73x2 + x4 = -576 + 576 + 73x2 + -73x2 Combine like terms: -576 + 576 = 0 576 + -73x2 + x4 = 0 + 73x2 + -73x2 576 + -73x2 + x4 = 73x2 + -73x2 Combine like terms: 73x2 + -73x2 = 0 576 + -73x2 + x4 = 0 Factor a trinomial. (9 + -1x2)(64 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(64 + -1x2) = 0 Factor a difference between two squares. ((8 + x)(8 + -1x))(3 + x)(3 + -1x) = 0Subproblem 1
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 2
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 = 3Subproblem 3
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 4
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-3, 3, -8, 8}
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