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Simplifying 48x4 + -243 = 0 Reorder the terms: -243 + 48x4 = 0 Solving -243 + 48x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '243' to each side of the equation. -243 + 243 + 48x4 = 0 + 243 Combine like terms: -243 + 243 = 0 0 + 48x4 = 0 + 243 48x4 = 0 + 243 Combine like terms: 0 + 243 = 243 48x4 = 243 Divide each side by '48'. x4 = 5.0625 Simplifying x4 = 5.0625 Reorder the terms: -5.0625 + x4 = 5.0625 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 -5.0625 + x4 = 0.0000 Factor a difference between two squares. (2.25 + x2)(-2.25 + x2) = 0.0000 Factor a difference between two squares. (2.25 + x2)((1.5 + x)(-1.5 + x)) = 0.0000Subproblem 1
Set the factor '(2.25 + x2)' equal to zero and attempt to solve: Simplifying 2.25 + x2 = 0 Solving 2.25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x2 = 0 + -2.25 x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 x2 = -2.25 Simplifying x2 = -2.25 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 '(1.5 + x)' equal to zero and attempt to solve: Simplifying 1.5 + x = 0 Solving 1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0 + -1.5 x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(-1.5 + x)' equal to zero and attempt to solve: Simplifying -1.5 + x = 0 Solving -1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0 + 1.5 x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x = 1.5 Simplifying x = 1.5Solution
x = {-1.5, 1.5}
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