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Simplifying 256x4 + -81 = 0 Reorder the terms: -81 + 256x4 = 0 Solving -81 + 256x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 256x4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 256x4 = 0 + 81 256x4 = 0 + 81 Combine like terms: 0 + 81 = 81 256x4 = 81 Divide each side by '256'. x4 = 0.31640625 Simplifying x4 = 0.31640625 Reorder the terms: -0.31640625 + x4 = 0.31640625 + -0.31640625 Combine like terms: 0.31640625 + -0.31640625 = 0.00000000 -0.31640625 + x4 = 0.00000000 Factor a difference between two squares. (0.5625 + x2)(-0.5625 + x2) = 0.00000000 Factor a difference between two squares. (0.5625 + x2)((0.75 + x)(-0.75 + x)) = 0.00000000Subproblem 1
Set the factor '(0.5625 + x2)' equal to zero and attempt to solve: Simplifying 0.5625 + x2 = 0 Solving 0.5625 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + x2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + x2 = 0 + -0.5625 x2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 x2 = -0.5625 Simplifying x2 = -0.5625 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 '(0.75 + x)' equal to zero and attempt to solve: Simplifying 0.75 + x = 0 Solving 0.75 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 0 + -0.75 x = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 x = -0.75 Simplifying x = -0.75Subproblem 3
Set the factor '(-0.75 + x)' equal to zero and attempt to solve: Simplifying -0.75 + x = 0 Solving -0.75 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 0 + 0.75 x = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 x = 0.75 Simplifying x = 0.75Solution
x = {-0.75, 0.75}
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