(4x^2-10)(8x+5)(x^2+2x+10)=

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Solution for (4x^2-10)(8x+5)(x^2+2x+10)= equation: 


Simplifying
(4x2 + -10)(8x + 5)(x2 + 2x + 10) = 0

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

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

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

Multiply (-10 + 4x2) * (5 + 8x)
(-10(5 + 8x) + 4x2 * (5 + 8x))(10 + 2x + x2) = 0
((5 * -10 + 8x * -10) + 4x2 * (5 + 8x))(10 + 2x + x2) = 0
((-50 + -80x) + 4x2 * (5 + 8x))(10 + 2x + x2) = 0
(-50 + -80x + (5 * 4x2 + 8x * 4x2))(10 + 2x + x2) = 0
(-50 + -80x + (20x2 + 32x3))(10 + 2x + x2) = 0
(-50 + -80x + 20x2 + 32x3)(10 + 2x + x2) = 0

Multiply (-50 + -80x + 20x2 + 32x3) * (10 + 2x + x2)
(-50(10 + 2x + x2) + -80x * (10 + 2x + x2) + 20x2 * (10 + 2x + x2) + 32x3 * (10 + 2x + x2)) = 0
((10 * -50 + 2x * -50 + x2 * -50) + -80x * (10 + 2x + x2) + 20x2 * (10 + 2x + x2) + 32x3 * (10 + 2x + x2)) = 0
((-500 + -100x + -50x2) + -80x * (10 + 2x + x2) + 20x2 * (10 + 2x + x2) + 32x3 * (10 + 2x + x2)) = 0
(-500 + -100x + -50x2 + (10 * -80x + 2x * -80x + x2 * -80x) + 20x2 * (10 + 2x + x2) + 32x3 * (10 + 2x + x2)) = 0
(-500 + -100x + -50x2 + (-800x + -160x2 + -80x3) + 20x2 * (10 + 2x + x2) + 32x3 * (10 + 2x + x2)) = 0
(-500 + -100x + -50x2 + -800x + -160x2 + -80x3 + (10 * 20x2 + 2x * 20x2 + x2 * 20x2) + 32x3 * (10 + 2x + x2)) = 0
(-500 + -100x + -50x2 + -800x + -160x2 + -80x3 + (200x2 + 40x3 + 20x4) + 32x3 * (10 + 2x + x2)) = 0
(-500 + -100x + -50x2 + -800x + -160x2 + -80x3 + 200x2 + 40x3 + 20x4 + (10 * 32x3 + 2x * 32x3 + x2 * 32x3)) = 0
(-500 + -100x + -50x2 + -800x + -160x2 + -80x3 + 200x2 + 40x3 + 20x4 + (320x3 + 64x4 + 32x5)) = 0

Reorder the terms:
(-500 + -100x + -800x + -50x2 + -160x2 + 200x2 + -80x3 + 40x3 + 320x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: -100x + -800x = -900x
(-500 + -900x + -50x2 + -160x2 + 200x2 + -80x3 + 40x3 + 320x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: -50x2 + -160x2 = -210x2
(-500 + -900x + -210x2 + 200x2 + -80x3 + 40x3 + 320x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: -210x2 + 200x2 = -10x2
(-500 + -900x + -10x2 + -80x3 + 40x3 + 320x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: -80x3 + 40x3 = -40x3
(-500 + -900x + -10x2 + -40x3 + 320x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: -40x3 + 320x3 = 280x3
(-500 + -900x + -10x2 + 280x3 + 20x4 + 64x4 + 32x5) = 0

Combine like terms: 20x4 + 64x4 = 84x4
(-500 + -900x + -10x2 + 280x3 + 84x4 + 32x5) = 0

Solving
-500 + -900x + -10x2 + 280x3 + 84x4 + 32x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-250 + -450x + -5x2 + 140x3 + 42x4 + 16x5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-250 + -450x + -5x2 + 140x3 + 42x4 + 16x5)' equal to zero and attempt to solve:

Simplifying
-250 + -450x + -5x2 + 140x3 + 42x4 + 16x5 = 0

Solving
-250 + -450x + -5x2 + 140x3 + 42x4 + 16x5 = 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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