(x^2+7)(x^2-3)=0

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Solution for (x^2+7)(x^2-3)=0 equation: 


Simplifying
(x2 + 7)(x2 + -3) = 0

Reorder the terms:
(7 + x2)(x2 + -3) = 0

Reorder the terms:
(7 + x2)(-3 + x2) = 0

Multiply (7 + x2) * (-3 + x2)
(7(-3 + x2) + x2(-3 + x2)) = 0
((-3 * 7 + x2 * 7) + x2(-3 + x2)) = 0
((-21 + 7x2) + x2(-3 + x2)) = 0
(-21 + 7x2 + (-3 * x2 + x2 * x2)) = 0
(-21 + 7x2 + (-3x2 + x4)) = 0

Combine like terms: 7x2 + -3x2 = 4x2
(-21 + 4x2 + x4) = 0

Solving
-21 + 4x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x2)(3 + -1x2) = 0


Subproblem 1
Set the factor '(-7 + -1x2)' equal to zero and attempt to solve:

Simplifying
-7 + -1x2 = 0

Solving
-7 + -1x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x2 = 0 + 7
-1x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1x2 = 7

Divide each side by '-1'.
x2 = -7

Simplifying
x2 = -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 '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 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 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Divide each side by '-1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}
Solution
x = {-1.732050808, 1.732050808}

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