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Simplifying 4x4 + 65x2 + 16 = 0 Reorder the terms: 16 + 65x2 + 4x4 = 0 Solving 16 + 65x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (16 + x2)(1 + 4x2) = 0Subproblem 1
Set the factor '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -16 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 + 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. The solution to this equation could not be determined.
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