((x)(x)+4)((x)(x)-8)=

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Solution for ((x)(x)+4)((x)(x)-8)= equation: 


Simplifying
((x)(x) + 4)((x)(x) + -8) = 0

Multiply x * x
(x2 + 4)((x)(x) + -8) = 0

Reorder the terms:
(4 + x2)((x)(x) + -8) = 0

Multiply x * x
(4 + x2)(x2 + -8) = 0

Reorder the terms:
(4 + x2)(-8 + x2) = 0

Multiply (4 + x2) * (-8 + x2)
(4(-8 + x2) + x2(-8 + x2)) = 0
((-8 * 4 + x2 * 4) + x2(-8 + x2)) = 0
((-32 + 4x2) + x2(-8 + x2)) = 0
(-32 + 4x2 + (-8 * x2 + x2 * x2)) = 0
(-32 + 4x2 + (-8x2 + x4)) = 0

Combine like terms: 4x2 + -8x2 = -4x2
(-32 + -4x2 + x4) = 0

Solving
-32 + -4x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x2)(8 + -1x2) = 0


Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x2 = 0

Solving
-4 + -1x2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x2 = 0 + 4
-1x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

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 '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.828427125, 2.828427125}

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