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Simplifying 5x4 + -12x2 + -32 = 0 Reorder the terms: -32 + -12x2 + 5x4 = 0 Solving -32 + -12x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -5x2)(4 + -1x2) = 0 Factor a difference between two squares. (-8 + -5x2)((2 + x)(2 + -1x)) = 0Subproblem 1
Set the factor '(-8 + -5x2)' equal to zero and attempt to solve: Simplifying -8 + -5x2 = 0 Solving -8 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x2 = 0 + 8 -5x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -5x2 = 8 Divide each side by '-5'. x2 = -1.6 Simplifying x2 = -1.6 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2, 2}
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