(x^2+1)(x^2+3)=

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Solution for (x^2+1)(x^2+3)= equation:


Simplifying
(x2 + 1)(x2 + 3) = 0

Reorder the terms:
(1 + x2)(x2 + 3) = 0

Reorder the terms:
(1 + x2)(3 + x2) = 0

Multiply (1 + x2) * (3 + x2)
(1(3 + x2) + x2(3 + x2)) = 0
((3 * 1 + x2 * 1) + x2(3 + x2)) = 0
((3 + 1x2) + x2(3 + x2)) = 0
(3 + 1x2 + (3 * x2 + x2 * x2)) = 0
(3 + 1x2 + (3x2 + x4)) = 0

Combine like terms: 1x2 + 3x2 = 4x2
(3 + 4x2 + x4) = 0

Solving
3 + 4x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + x2)(1 + x2) = 0

Subproblem 1

Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 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 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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