(x^2-28)(2x^2+8)=0

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Solution for (x^2-28)(2x^2+8)=0 equation: 


Simplifying
(x2 + -28)(2x2 + 8) = 0

Reorder the terms:
(-28 + x2)(2x2 + 8) = 0

Reorder the terms:
(-28 + x2)(8 + 2x2) = 0

Multiply (-28 + x2) * (8 + 2x2)
(-28(8 + 2x2) + x2(8 + 2x2)) = 0
((8 * -28 + 2x2 * -28) + x2(8 + 2x2)) = 0
((-224 + -56x2) + x2(8 + 2x2)) = 0
(-224 + -56x2 + (8 * x2 + 2x2 * x2)) = 0
(-224 + -56x2 + (8x2 + 2x4)) = 0

Combine like terms: -56x2 + 8x2 = -48x2
(-224 + -48x2 + 2x4) = 0

Solving
-224 + -48x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-112 + -24x2 + x4) = 0

Factor a trinomial.
2((-4 + -1x2)(28 + -1x2)) = 0

Ignore the factor 2.

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 '(28 + -1x2)' equal to zero and attempt to solve:

Simplifying
28 + -1x2 = 0

Solving
28 + -1x2 = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x2 = 0 + -28
-1x2 = 0 + -28

Combine like terms: 0 + -28 = -28
-1x2 = -28

Divide each side by '-1'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}
Solution
x = {-5.291502622, 5.291502622}

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