7x^4+38x^2+15=0

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Solution for 7x^4+38x^2+15=0 equation:


Simplifying
7x4 + 38x2 + 15 = 0

Reorder the terms:
15 + 38x2 + 7x4 = 0

Solving
15 + 38x2 + 7x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x2)(3 + 7x2) = 0

Subproblem 1

Set the factor '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -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 '(3 + 7x2)' equal to zero and attempt to solve: Simplifying 3 + 7x2 = 0 Solving 3 + 7x2 = 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 + 7x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x2 = 0 + -3 7x2 = 0 + -3 Combine like terms: 0 + -3 = -3 7x2 = -3 Divide each side by '7'. x2 = -0.4285714286 Simplifying x2 = -0.4285714286 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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