(x^4+x^3+x^2)(x^2-2)=

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Solution for (x^4+x^3+x^2)(x^2-2)= equation: 


Simplifying
(x4 + x3 + x2)(x2 + -2) = 0

Reorder the terms:
(x2 + x3 + x4)(x2 + -2) = 0

Reorder the terms:
(x2 + x3 + x4)(-2 + x2) = 0

Multiply (x2 + x3 + x4) * (-2 + x2)
(x2(-2 + x2) + x3(-2 + x2) + x4(-2 + x2)) = 0
((-2 * x2 + x2 * x2) + x3(-2 + x2) + x4(-2 + x2)) = 0
((-2x2 + x4) + x3(-2 + x2) + x4(-2 + x2)) = 0
(-2x2 + x4 + (-2 * x3 + x2 * x3) + x4(-2 + x2)) = 0
(-2x2 + x4 + (-2x3 + x5) + x4(-2 + x2)) = 0
(-2x2 + x4 + -2x3 + x5 + (-2 * x4 + x2 * x4)) = 0
(-2x2 + x4 + -2x3 + x5 + (-2x4 + x6)) = 0

Reorder the terms:
(-2x2 + -2x3 + x4 + -2x4 + x5 + x6) = 0

Combine like terms: x4 + -2x4 = -1x4
(-2x2 + -2x3 + -1x4 + x5 + x6) = 0

Solving
-2x2 + -2x3 + -1x4 + x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-2 + -2x + -1x2 + x3 + x4) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-2 + -2x + -1x2 + x3 + x4)' equal to zero and attempt to solve:

Simplifying
-2 + -2x + -1x2 + x3 + x4 = 0

Solving
-2 + -2x + -1x2 + x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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