z^4+12z^2+35=0

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Solution for z^4+12z^2+35=0 equation:


Simplifying
z4 + 12z2 + 35 = 0

Reorder the terms:
35 + 12z2 + z4 = 0

Solving
35 + 12z2 + z4 = 0

Solving for variable 'z'.

Factor a trinomial.
(7 + z2)(5 + z2) = 0

Subproblem 1

Set the factor '(7 + z2)' equal to zero and attempt to solve: Simplifying 7 + z2 = 0 Solving 7 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z2 = 0 + -7 z2 = 0 + -7 Combine like terms: 0 + -7 = -7 z2 = -7 Simplifying z2 = -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 '(5 + z2)' equal to zero and attempt to solve: Simplifying 5 + z2 = 0 Solving 5 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + z2 = 0 + -5 z2 = 0 + -5 Combine like terms: 0 + -5 = -5 z2 = -5 Simplifying z2 = -5 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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