49x^4+112x^2+64=0

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Solution for 49x^4+112x^2+64=0 equation:


Simplifying
49x4 + 112x2 + 64 = 0

Reorder the terms:
64 + 112x2 + 49x4 = 0

Solving
64 + 112x2 + 49x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 7x2)(8 + 7x2) = 0

Subproblem 1

Set the factor '(8 + 7x2)' equal to zero and attempt to solve: Simplifying 8 + 7x2 = 0 Solving 8 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x2 = 0 + -8 7x2 = 0 + -8 Combine like terms: 0 + -8 = -8 7x2 = -8 Divide each side by '7'. x2 = -1.142857143 Simplifying x2 = -1.142857143 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 '(8 + 7x2)' equal to zero and attempt to solve: Simplifying 8 + 7x2 = 0 Solving 8 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x2 = 0 + -8 7x2 = 0 + -8 Combine like terms: 0 + -8 = -8 7x2 = -8 Divide each side by '7'. x2 = -1.142857143 Simplifying x2 = -1.142857143 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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