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Simplifying 12x4 + 20x2 + 3 = 0 Reorder the terms: 3 + 20x2 + 12x4 = 0 Solving 3 + 20x2 + 12x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 2x2)(1 + 6x2) = 0Subproblem 1
Set the factor '(3 + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 2x2 = 0 Solving 3 + 2x2 = 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 + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 = 0 + -3 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 = -3 Divide each side by '2'. x2 = -1.5 Simplifying x2 = -1.5 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 '(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. The solution to this equation could not be determined.
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