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Simplifying (625x4) + -256 = 0 Reorder the terms: -256 + (625x4) = 0 Solving -256 + (625x4) = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + (625x4) = 0 + 256 Combine like terms: -256 + 256 = 0 0 + (625x4) = 0 + 256 (625x4) = 0 + 256 Combine like terms: 0 + 256 = 256 (625x4) = 256 Divide each side by '625'. x4 = 0.4096 Simplifying x4 = 0.4096 Reorder the terms: -0.4096 + x4 = 0.4096 + -0.4096 Combine like terms: 0.4096 + -0.4096 = 0.0000 -0.4096 + x4 = 0.0000 Factor a difference between two squares. (0.64 + x2)(-0.64 + x2) = 0.0000 Factor a difference between two squares. (0.64 + x2)((0.8 + x)(-0.8 + x)) = 0.0000Subproblem 1
Set the factor '(0.64 + x2)' equal to zero and attempt to solve: Simplifying 0.64 + x2 = 0 Solving 0.64 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.64' to each side of the equation. 0.64 + -0.64 + x2 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + x2 = 0 + -0.64 x2 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 x2 = -0.64 Simplifying x2 = -0.64 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 '(0.8 + x)' equal to zero and attempt to solve: Simplifying 0.8 + x = 0 Solving 0.8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + x = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + x = 0 + -0.8 x = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 x = -0.8 Simplifying x = -0.8Subproblem 3
Set the factor '(-0.8 + x)' equal to zero and attempt to solve: Simplifying -0.8 + x = 0 Solving -0.8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + x = 0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + x = 0 + 0.8 x = 0 + 0.8 Combine like terms: 0 + 0.8 = 0.8 x = 0.8 Simplifying x = 0.8Solution
x = {-0.8, 0.8}
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