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

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