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Simplifying x4 + 3 = 4x4 Reorder the terms: 3 + x4 = 4x4 Solving 3 + x4 = 4x4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x4' to each side of the equation. 3 + x4 + -4x4 = 4x4 + -4x4 Combine like terms: x4 + -4x4 = -3x4 3 + -3x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 3 + -3x4 = 0 Add '-3' to each side of the equation. 3 + -3 + -3x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x4 = 0 + -3 -3x4 = 0 + -3 Combine like terms: 0 + -3 = -3 -3x4 = -3 Divide each side by '-3'. x4 = 1 Simplifying x4 = 1 Reorder the terms: -1 + x4 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x4 = 0 Factor a difference between two squares. (1 + x2)(-1 + x2) = 0 Factor a difference between two squares. (1 + x2)((1 + x)(-1 + x)) = 0Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {-1, 1}
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