(X^2+5)(3+x^4)(100x^2-10)=0

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Solution for (X^2+5)(3+x^4)(100x^2-10)=0 equation:

Simplifying
(X² + 5)(3 + x⁴)(100x² + -10) = 0

Reorder the terms:
(5 + X²)(3 + x⁴)(100x² + -10) = 0

Reorder the terms:
(5 + X²)(3 + x⁴)(-10 + 100x²) = 0

Multiply (5 + X²) * (3 + x⁴)
(5(3 + x⁴) + X²(3 + x⁴))(-10 + 100x²) = 0
((3 * 5 + x⁴ * 5) + X²(3 + x⁴))(-10 + 100x²) = 0
((15 + 5x⁴) + X²(3 + x⁴))(-10 + 100x²) = 0
(15 + 5x⁴ + (3 * X² + x⁴ * X²))(-10 + 100x²) = 0
(15 + 5x⁴ + (3X² + x⁴X²))(-10 + 100x²) = 0

Reorder the terms:
(15 + 3X² + 5x⁴ + x⁴X²)(-10 + 100x²) = 0
(15 + 3X² + 5x⁴ + x⁴X²)(-10 + 100x²) = 0

Multiply (15 + 3X² + 5x⁴ + x⁴X²) * (-10 + 100x²)
(15(-10 + 100x²) + 3X² * (-10 + 100x²) + 5x⁴ * (-10 + 100x²) + x⁴X²(-10 + 100x²)) = 0
((-10 * 15 + 100x² * 15) + 3X² * (-10 + 100x²) + 5x⁴ * (-10 + 100x²) + x⁴X²(-10 + 100x²)) = 0
((-150 + 1500x²) + 3X² * (-10 + 100x²) + 5x⁴ * (-10 + 100x²) + x⁴X²(-10 + 100x²)) = 0
(-150 + 1500x² + (-10 * 3X² + 100x² * 3X²) + 5x⁴ * (-10 + 100x²) + x⁴X²(-10 + 100x²)) = 0
(-150 + 1500x² + (-30X² + 300x²X²) + 5x⁴ * (-10 + 100x²) + x⁴X²(-10 + 100x²)) = 0
(-150 + 1500x² + -30X² + 300x²X² + (-10 * 5x⁴ + 100x² * 5x⁴) + x⁴X²(-10 + 100x²)) = 0
(-150 + 1500x² + -30X² + 300x²X² + (-50x⁴ + 500x⁶) + x⁴X²(-10 + 100x²)) = 0
(-150 + 1500x² + -30X² + 300x²X² + -50x⁴ + 500x⁶ + (-10 * x⁴X² + 100x² * x⁴X²)) = 0
(-150 + 1500x² + -30X² + 300x²X² + -50x⁴ + 500x⁶ + (-10x⁴X² + 100x⁶X²)) = 0

Reorder the terms:
(-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X²) = 0
(-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X²) = 0

Solving
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0

Solving for variable 'X'.

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

Add '150' to each side of the equation.
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 150 + 100x⁶X² = 0 + 150

Reorder the terms:
-150 + 150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + 150

Combine like terms: -150 + 150 = 0
0 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + 150
-30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + 150

Combine like terms: 0 + 150 = 150
-30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150

Add '-1500x²' to each side of the equation.
-30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + -1500x² + 100x⁶X² = 150 + -1500x²

Reorder the terms:
-30X² + 1500x² + -1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x²

Combine like terms: 1500x² + -1500x² = 0
-30X² + 0 + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x²
-30X² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x²

Add '50x⁴' to each side of the equation.
-30X² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 50x⁴ + 100x⁶X² = 150 + -1500x² + 50x⁴

Reorder the terms:
-30X² + 300x²X² + -50x⁴ + 50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x² + 50x⁴

Combine like terms: -50x⁴ + 50x⁴ = 0
-30X² + 300x²X² + 0 + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x² + 50x⁴
-30X² + 300x²X² + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x² + 50x⁴

Add '-500x⁶' to each side of the equation.
-30X² + 300x²X² + -10x⁴X² + 500x⁶ + -500x⁶ + 100x⁶X² = 150 + -1500x² + 50x⁴ + -500x⁶

Combine like terms: 500x⁶ + -500x⁶ = 0
-30X² + 300x²X² + -10x⁴X² + 0 + 100x⁶X² = 150 + -1500x² + 50x⁴ + -500x⁶
-30X² + 300x²X² + -10x⁴X² + 100x⁶X² = 150 + -1500x² + 50x⁴ + -500x⁶

Reorder the terms:
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -1500x² + 50x⁴ + -500x⁶ + -150 + 1500x² + -50x⁴ + 500x⁶

Reorder the terms:
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 150 + -150 + -1500x² + 1500x² + 50x⁴ + -50x⁴ + -500x⁶ + 500x⁶

Combine like terms: 150 + -150 = 0
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + -1500x² + 1500x² + 50x⁴ + -50x⁴ + -500x⁶ + 500x⁶
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = -1500x² + 1500x² + 50x⁴ + -50x⁴ + -500x⁶ + 500x⁶

Combine like terms: -1500x² + 1500x² = 0
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + 50x⁴ + -50x⁴ + -500x⁶ + 500x⁶
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 50x⁴ + -50x⁴ + -500x⁶ + 500x⁶

Combine like terms: 50x⁴ + -50x⁴ = 0
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0 + -500x⁶ + 500x⁶
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = -500x⁶ + 500x⁶

Combine like terms: -500x⁶ + 500x⁶ = 0
-150 + -30X² + 1500x² + 300x²X² + -50x⁴ + -10x⁴X² + 500x⁶ + 100x⁶X² = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X²) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X²)' equal to zero and attempt to solve:

Simplifying
-15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 0

Solving
-15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 0

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

Add '15' to each side of the equation.
-15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 15 + 10x⁶X² = 0 + 15

Reorder the terms:
-15 + 15 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 0 + 15
-3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 0 + 15

Combine like terms: 0 + 15 = 15
-3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 15

Add '-150x²' to each side of the equation.
-3X² + 150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + -150x² + 10x⁶X² = 15 + -150x²

Reorder the terms:
-3X² + 150x² + -150x² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x²

Combine like terms: 150x² + -150x² = 0
-3X² + 0 + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x²
-3X² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x²

Add '5x⁴' to each side of the equation.
-3X² + 30x²X² + -5x⁴ + -1x⁴X² + 50x⁶ + 5x⁴ + 10x⁶X² = 15 + -150x² + 5x⁴

Reorder the terms:
-3X² + 30x²X² + -5x⁴ + 5x⁴ + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x² + 5x⁴

Combine like terms: -5x⁴ + 5x⁴ = 0
-3X² + 30x²X² + 0 + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x² + 5x⁴
-3X² + 30x²X² + -1x⁴X² + 50x⁶ + 10x⁶X² = 15 + -150x² + 5x⁴

Add '-50x⁶' to each side of the equation.
-3X² + 30x²X² + -1x⁴X² + 50x⁶ + -50x⁶ + 10x⁶X² = 15 + -150x² + 5x⁴ + -50x⁶

Combine like terms: 50x⁶ + -50x⁶ = 0
-3X² + 30x²X² + -1x⁴X² + 0 + 10x⁶X² = 15 + -150x² + 5x⁴ + -50x⁶
-3X² + 30x²X² + -1x⁴X² + 10x⁶X² = 15 + -150x² + 5x⁴ + -50x⁶

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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(X^2+5)(3+x^4)(100x^2-10)=0

Simple and best practice solution for (X^2+5)(3+x^4)(100x^2-10)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (X^2+5)(3+x^4)(100x^2-10)=0 equation:

Subproblem 1

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