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Simplifying x4 = 0.0016 Solving x4 = 0.0016 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0.0016 Reorder the terms: -0.0016 + x4 = 0.0016 + -0.0016 Combine like terms: 0.0016 + -0.0016 = 0.0000 -0.0016 + x4 = 0.0000 Factor a difference between two squares. (0.04 + x2)(-0.04 + x2) = 0.0000 Factor a difference between two squares. (0.04 + x2)((0.2 + x)(-0.2 + x)) = 0.0000Subproblem 1
Set the factor '(0.04 + x2)' equal to zero and attempt to solve: Simplifying 0.04 + x2 = 0 Solving 0.04 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + x2 = 0 + -0.04 x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 x2 = -0.04 Simplifying x2 = -0.04 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 '(0.2 + x)' equal to zero and attempt to solve: Simplifying 0.2 + x = 0 Solving 0.2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + x = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + x = 0 + -0.2 x = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 x = -0.2 Simplifying x = -0.2Subproblem 3
Set the factor '(-0.2 + x)' equal to zero and attempt to solve: Simplifying -0.2 + x = 0 Solving -0.2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + x = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + x = 0 + 0.2 x = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 x = 0.2 Simplifying x = 0.2Solution
x = {-0.2, 0.2}
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