(3x+8)(5x-20)(5x+4y)=

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Solution for (3x+8)(5x-20)(5x+4y)= equation: 


Simplifying
(3x + 8)(5x + -20)(5x + 4y) = 0

Reorder the terms:
(8 + 3x)(5x + -20)(5x + 4y) = 0

Reorder the terms:
(8 + 3x)(-20 + 5x)(5x + 4y) = 0

Multiply (8 + 3x) * (-20 + 5x)
(8(-20 + 5x) + 3x * (-20 + 5x))(5x + 4y) = 0
((-20 * 8 + 5x * 8) + 3x * (-20 + 5x))(5x + 4y) = 0
((-160 + 40x) + 3x * (-20 + 5x))(5x + 4y) = 0
(-160 + 40x + (-20 * 3x + 5x * 3x))(5x + 4y) = 0
(-160 + 40x + (-60x + 15x2))(5x + 4y) = 0

Combine like terms: 40x + -60x = -20x
(-160 + -20x + 15x2)(5x + 4y) = 0

Multiply (-160 + -20x + 15x2) * (5x + 4y)
(-160(5x + 4y) + -20x * (5x + 4y) + 15x2 * (5x + 4y)) = 0
((5x * -160 + 4y * -160) + -20x * (5x + 4y) + 15x2 * (5x + 4y)) = 0
((-800x + -640y) + -20x * (5x + 4y) + 15x2 * (5x + 4y)) = 0
(-800x + -640y + (5x * -20x + 4y * -20x) + 15x2 * (5x + 4y)) = 0

Reorder the terms:
(-800x + -640y + (-80xy + -100x2) + 15x2 * (5x + 4y)) = 0
(-800x + -640y + (-80xy + -100x2) + 15x2 * (5x + 4y)) = 0
(-800x + -640y + -80xy + -100x2 + (5x * 15x2 + 4y * 15x2)) = 0

Reorder the terms:
(-800x + -640y + -80xy + -100x2 + (60x2y + 75x3)) = 0
(-800x + -640y + -80xy + -100x2 + (60x2y + 75x3)) = 0

Reorder the terms:
(-800x + -80xy + -100x2 + 60x2y + 75x3 + -640y) = 0
(-800x + -80xy + -100x2 + 60x2y + 75x3 + -640y) = 0

Solving
-800x + -80xy + -100x2 + 60x2y + 75x3 + -640y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-160x + -16xy + -20x2 + 12x2y + 15x3 + -128y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-160x + -16xy + -20x2 + 12x2y + 15x3 + -128y)' equal to zero and attempt to solve:

Simplifying
-160x + -16xy + -20x2 + 12x2y + 15x3 + -128y = 0

Solving
-160x + -16xy + -20x2 + 12x2y + 15x3 + -128y = 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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