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Simplifying 8x4 + -14x2 + -4 = 0 Reorder the terms: -4 + -14x2 + 8x4 = 0 Solving -4 + -14x2 + 8x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -7x2 + 4x4) = 0 Factor a trinomial. 2((-1 + -4x2)(2 + -1x2)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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