X^4-4c^2+3=0

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Solution for X^4-4c^2+3=0 equation:


Simplifying
X4 + -4c2 + 3 = 0

Reorder the terms:
3 + X4 + -4c2 = 0

Solving
3 + X4 + -4c2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X4 + -3 + -4c2 = 0 + -3

Reorder the terms:
3 + -3 + X4 + -4c2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X4 + -4c2 = 0 + -3
X4 + -4c2 = 0 + -3

Combine like terms: 0 + -3 = -3
X4 + -4c2 = -3

Add '4c2' to each side of the equation.
X4 + -4c2 + 4c2 = -3 + 4c2

Combine like terms: -4c2 + 4c2 = 0
X4 + 0 = -3 + 4c2
X4 = -3 + 4c2

Simplifying
X4 = -3 + 4c2

Reorder the terms:
3 + X4 + -4c2 = -3 + 4c2 + 3 + -4c2

Reorder the terms:
3 + X4 + -4c2 = -3 + 3 + 4c2 + -4c2

Combine like terms: -3 + 3 = 0
3 + X4 + -4c2 = 0 + 4c2 + -4c2
3 + X4 + -4c2 = 4c2 + -4c2

Combine like terms: 4c2 + -4c2 = 0
3 + X4 + -4c2 = 0

Factor a trinomial.
(X2 + -1c)(X2 + 4c) = 0

Subproblem 1

Set the factor '(X2 + -1c)' equal to zero and attempt to solve: Simplifying X2 + -1c = 0 Solving X2 + -1c = 0 Move all terms containing X to the left, all other terms to the right. Add 'c' to each side of the equation. X2 + -1c + c = 0 + c Combine like terms: -1c + c = 0 X2 + 0 = 0 + c X2 = 0 + c Remove the zero: X2 = c Simplifying X2 = c 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 '(X2 + 4c)' equal to zero and attempt to solve: Simplifying X2 + 4c = 0 Solving X2 + 4c = 0 Move all terms containing X to the left, all other terms to the right. Add '-4c' to each side of the equation. X2 + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 X2 + 0 = 0 + -4c X2 = 0 + -4c Remove the zero: X2 = -4c Simplifying X2 = -4c 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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