c^4+x^2+2=0

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Solution for c^4+x^2+2=0 equation:


Simplifying
c4 + x2 + 2 = 0

Reorder the terms:
2 + c4 + x2 = 0

Solving
2 + c4 + x2 = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + c4 + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + c4 + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c4 + x2 = 0 + -2
c4 + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
c4 + x2 = -2

Add '-1x2' to each side of the equation.
c4 + x2 + -1x2 = -2 + -1x2

Combine like terms: x2 + -1x2 = 0
c4 + 0 = -2 + -1x2
c4 = -2 + -1x2

Simplifying
c4 = -2 + -1x2

Reorder the terms:
2 + c4 + x2 = -2 + -1x2 + 2 + x2

Reorder the terms:
2 + c4 + x2 = -2 + 2 + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + c4 + x2 = 0 + -1x2 + x2
2 + c4 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + c4 + x2 = 0

Factor a trinomial.
(c2 + x)(c2 + x) = 0

Subproblem 1

Set the factor '(c2 + x)' equal to zero and attempt to solve: Simplifying c2 + x = 0 Solving c2 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. c2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 c2 + 0 = 0 + -1x c2 = 0 + -1x Remove the zero: c2 = -1x Simplifying c2 = -1x 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 '(c2 + x)' equal to zero and attempt to solve: Simplifying c2 + x = 0 Solving c2 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. c2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 c2 + 0 = 0 + -1x c2 = 0 + -1x Remove the zero: c2 = -1x Simplifying c2 = -1x 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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