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Simplifying 32x4 + -2x2 + -9 = 0 Reorder the terms: -9 + -2x2 + 32x4 = 0 Solving -9 + -2x2 + 32x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x2)(9 + -16x2) = 0 Factor a difference between two squares. (-1 + -2x2)((3 + 4x)(3 + -4x)) = 0Subproblem 1
Set the factor '(-1 + -2x2)' equal to zero and attempt to solve: Simplifying -1 + -2x2 = 0 Solving -1 + -2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x2 = 0 + 1 -2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2x2 = 1 Divide each side by '-2'. x2 = -0.5 Simplifying x2 = -0.5 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 '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 3
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.75, 0.75}
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