2x^2(-5x^2-4)+4x^4=0

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Solution for 2x^2(-5x^2-4)+4x^4=0 equation: 


Simplifying
2x2(-5x2 + -4) + 4x4 = 0

Reorder the terms:
2x2(-4 + -5x2) + 4x4 = 0
(-4 * 2x2 + -5x2 * 2x2) + 4x4 = 0
(-8x2 + -10x4) + 4x4 = 0

Combine like terms: -10x4 + 4x4 = -6x4
-8x2 + -6x4 = 0

Solving
-8x2 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x2'.
-2x2(4 + 3x2) = 0

Ignore the factor -2.

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 '(4 + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 3x2 = 0

Solving
4 + 3x2 = 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 + 3x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x2 = 0 + -4
3x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3x2 = -4

Divide each side by '3'.
x2 = -1.333333333

Simplifying
x2 = -1.333333333

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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