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Simplifying x4 + -2401 = 0 Reorder the terms: -2401 + x4 = 0 Solving -2401 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2401' to each side of the equation. -2401 + 2401 + x4 = 0 + 2401 Combine like terms: -2401 + 2401 = 0 0 + x4 = 0 + 2401 x4 = 0 + 2401 Combine like terms: 0 + 2401 = 2401 x4 = 2401 Simplifying x4 = 2401 Reorder the terms: -2401 + x4 = 2401 + -2401 Combine like terms: 2401 + -2401 = 0 -2401 + x4 = 0 Factor a difference between two squares. (49 + x2)(-49 + x2) = 0 Factor a difference between two squares. (49 + x2)((7 + x)(-7 + x)) = 0Subproblem 1
Set the factor '(49 + x2)' equal to zero and attempt to solve: Simplifying 49 + x2 = 0 Solving 49 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x2 = 0 + -49 x2 = 0 + -49 Combine like terms: 0 + -49 = -49 x2 = -49 Simplifying x2 = -49 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 3
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {-7, 7}
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