x^4+14x^2+49=0

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Solution for x^4+14x^2+49=0 equation:


Simplifying
x4 + 14x2 + 49 = 0

Reorder the terms:
49 + 14x2 + x4 = 0

Solving
49 + 14x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x2)(7 + x2) = 0

Subproblem 1

Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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 '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 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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