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Simplifying x4 + -10000 = 0 Reorder the terms: -10000 + x4 = 0 Solving -10000 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10000' to each side of the equation. -10000 + 10000 + x4 = 0 + 10000 Combine like terms: -10000 + 10000 = 0 0 + x4 = 0 + 10000 x4 = 0 + 10000 Combine like terms: 0 + 10000 = 10000 x4 = 10000 Simplifying x4 = 10000 Reorder the terms: -10000 + x4 = 10000 + -10000 Combine like terms: 10000 + -10000 = 0 -10000 + x4 = 0 Factor a difference between two squares. (100 + x2)(-100 + x2) = 0 Factor a difference between two squares. (100 + x2)((10 + x)(-10 + x)) = 0Subproblem 1
Set the factor '(100 + x2)' equal to zero and attempt to solve: Simplifying 100 + x2 = 0 Solving 100 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x2 = 0 + -100 x2 = 0 + -100 Combine like terms: 0 + -100 = -100 x2 = -100 Simplifying x2 = -100 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 3
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Solution
x = {-10, 10}
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