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Simplifying 1 + -16x8 = 0 Solving 1 + -16x8 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -16x8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16x8 = 0 + -1 -16x8 = 0 + -1 Combine like terms: 0 + -1 = -1 -16x8 = -1 Divide each side by '-16'. x8 = 0.0625 Simplifying x8 = 0.0625 Reorder the terms: -0.0625 + x8 = 0.0625 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + x8 = 0.0000 Factor a difference between two squares. (0.25 + x4)(-0.25 + x4) = 0.0000 Factor a difference between two squares. (0.25 + x4)((0.5 + x2)(-0.5 + x2)) = 0.0000Subproblem 1
Set the factor '(0.25 + x4)' equal to zero and attempt to solve: Simplifying 0.25 + x4 = 0 Solving 0.25 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + x4 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + x4 = 0 + -0.25 x4 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 x4 = -0.25 Simplifying x4 = -0.25 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 '(0.5 + x2)' equal to zero and attempt to solve: Simplifying 0.5 + x2 = 0 Solving 0.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x2 = 0 + -0.5 x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x2 = -0.5 Simplifying x2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-0.5 + x2)' equal to zero and attempt to solve: Simplifying -0.5 + x2 = 0 Solving -0.5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x2 = 0 + 0.5 x2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 x2 = 0.5 Simplifying x2 = 0.5 Take the square root of each side: x = {-0.707106781, 0.707106781}Solution
x = {-0.707106781, 0.707106781}
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