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Simplifying 625x4 + -81 = 0 Reorder the terms: -81 + 625x4 = 0 Solving -81 + 625x4 = 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 + 625x4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 625x4 = 0 + 81 625x4 = 0 + 81 Combine like terms: 0 + 81 = 81 625x4 = 81 Divide each side by '625'. x4 = 0.1296 Simplifying x4 = 0.1296 Reorder the terms: -0.1296 + x4 = 0.1296 + -0.1296 Combine like terms: 0.1296 + -0.1296 = 0.0000 -0.1296 + x4 = 0.0000 Factor a difference between two squares. (0.36 + x2)(-0.36 + x2) = 0.0000 Factor a difference between two squares. (0.36 + x2)((0.6 + x)(-0.6 + x)) = 0.0000Subproblem 1
Set the factor '(0.36 + x2)' equal to zero and attempt to solve: Simplifying 0.36 + x2 = 0 Solving 0.36 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.36' to each side of the equation. 0.36 + -0.36 + x2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + x2 = 0 + -0.36 x2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 x2 = -0.36 Simplifying x2 = -0.36 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 '(0.6 + x)' equal to zero and attempt to solve: Simplifying 0.6 + x = 0 Solving 0.6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + x = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + x = 0 + -0.6 x = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 x = -0.6 Simplifying x = -0.6Subproblem 3
Set the factor '(-0.6 + x)' equal to zero and attempt to solve: Simplifying -0.6 + x = 0 Solving -0.6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + x = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + x = 0 + 0.6 x = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 x = 0.6 Simplifying x = 0.6Solution
x = {-0.6, 0.6}
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