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Simplifying 3x4 + -32x2 + -256 = 0 Reorder the terms: -256 + -32x2 + 3x4 = 0 Solving -256 + -32x2 + 3x4 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -3x2)(16 + -1x2) = 0 Factor a difference between two squares. (-16 + -3x2)((4 + x)(4 + -1x)) = 0Subproblem 1
Set the factor '(-16 + -3x2)' equal to zero and attempt to solve: Simplifying -16 + -3x2 = 0 Solving -16 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3x2 = 0 + 16 -3x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -3x2 = 16 Divide each side by '-3'. x2 = -5.333333333 Simplifying x2 = -5.333333333 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4, 4}
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