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Simplifying 16x4 + -16x2 + -5 = 0 Reorder the terms: -5 + -16x2 + 16x4 = 0 Solving -5 + -16x2 + 16x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x2)(5 + -4x2) = 0Subproblem 1
Set the factor '(-1 + -4x2)' equal to zero and attempt to solve: Simplifying -1 + -4x2 = 0 Solving -1 + -4x2 = 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 + -4x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x2 = 0 + 1 -4x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -4x2 = 1 Divide each side by '-4'. x2 = -0.25 Simplifying x2 = -0.25 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 '(5 + -4x2)' equal to zero and attempt to solve: Simplifying 5 + -4x2 = 0 Solving 5 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x2 = 0 + -5 -4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x2 = -5 Divide each side by '-4'. x2 = 1.25 Simplifying x2 = 1.25 Take the square root of each side: x = {-1.118033989, 1.118033989}Solution
x = {-1.118033989, 1.118033989}
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