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Simplifying 12x4 + -4x2 + -1 = 0 Reorder the terms: -1 + -4x2 + 12x4 = 0 Solving -1 + -4x2 + 12x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -6x2)(1 + -2x2) = 0Subproblem 1
Set the factor '(-1 + -6x2)' equal to zero and attempt to solve: Simplifying -1 + -6x2 = 0 Solving -1 + -6x2 = 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 + -6x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x2 = 0 + 1 -6x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -6x2 = 1 Divide each side by '-6'. x2 = -0.1666666667 Simplifying x2 = -0.1666666667 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 '(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 Take the square root of each side: x = {-0.707106781, 0.707106781}Solution
x = {-0.707106781, 0.707106781}
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