(50x^2-2)(8x+16)+x^2(50x^2-2)=0

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Solution for (50x^2-2)(8x+16)+x^2(50x^2-2)=0 equation: 


Simplifying
(50x2 + -2)(8x + 16) + x2(50x2 + -2) = 0

Reorder the terms:
(-2 + 50x2)(8x + 16) + x2(50x2 + -2) = 0

Reorder the terms:
(-2 + 50x2)(16 + 8x) + x2(50x2 + -2) = 0

Multiply (-2 + 50x2) * (16 + 8x)
(-2(16 + 8x) + 50x2 * (16 + 8x)) + x2(50x2 + -2) = 0
((16 * -2 + 8x * -2) + 50x2 * (16 + 8x)) + x2(50x2 + -2) = 0
((-32 + -16x) + 50x2 * (16 + 8x)) + x2(50x2 + -2) = 0
(-32 + -16x + (16 * 50x2 + 8x * 50x2)) + x2(50x2 + -2) = 0
(-32 + -16x + (800x2 + 400x3)) + x2(50x2 + -2) = 0
(-32 + -16x + 800x2 + 400x3) + x2(50x2 + -2) = 0

Reorder the terms:
-32 + -16x + 800x2 + 400x3 + x2(-2 + 50x2) = 0
-32 + -16x + 800x2 + 400x3 + (-2 * x2 + 50x2 * x2) = 0
-32 + -16x + 800x2 + 400x3 + (-2x2 + 50x4) = 0

Reorder the terms:
-32 + -16x + 800x2 + -2x2 + 400x3 + 50x4 = 0

Combine like terms: 800x2 + -2x2 = 798x2
-32 + -16x + 798x2 + 400x3 + 50x4 = 0

Solving
-32 + -16x + 798x2 + 400x3 + 50x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -8x + 399x2 + 200x3 + 25x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + -8x + 399x2 + 200x3 + 25x4)' equal to zero and attempt to solve:

Simplifying
-16 + -8x + 399x2 + 200x3 + 25x4 = 0

Solving
-16 + -8x + 399x2 + 200x3 + 25x4 = 0

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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