3x(5y+38)(8x+26)=

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Solution for 3x(5y+38)(8x+26)= equation: 


Simplifying
3x(5y + 38)(8x + 26) = 0

Reorder the terms:
3x(38 + 5y)(8x + 26) = 0

Reorder the terms:
3x(38 + 5y)(26 + 8x) = 0

Multiply (38 + 5y) * (26 + 8x)
3x(38(26 + 8x) + 5y * (26 + 8x)) = 0
3x((26 * 38 + 8x * 38) + 5y * (26 + 8x)) = 0
3x((988 + 304x) + 5y * (26 + 8x)) = 0
3x(988 + 304x + (26 * 5y + 8x * 5y)) = 0

Reorder the terms:
3x(988 + 304x + (40xy + 130y)) = 0
3x(988 + 304x + (40xy + 130y)) = 0
3x(988 + 304x + 40xy + 130y) = 0
(988 * 3x + 304x * 3x + 40xy * 3x + 130y * 3x) = 0

Reorder the terms:
(2964x + 390xy + 912x2 + 120x2y) = 0
(2964x + 390xy + 912x2 + 120x2y) = 0

Solving
2964x + 390xy + 912x2 + 120x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(494 + 65y + 152x + 20xy) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(494 + 65y + 152x + 20xy)' equal to zero and attempt to solve:

Simplifying
494 + 65y + 152x + 20xy = 0

Reorder the terms:
494 + 152x + 20xy + 65y = 0

Solving
494 + 152x + 20xy + 65y = 0

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

Add '-494' to each side of the equation.
494 + 152x + 20xy + -494 + 65y = 0 + -494

Reorder the terms:
494 + -494 + 152x + 20xy + 65y = 0 + -494

Combine like terms: 494 + -494 = 0
0 + 152x + 20xy + 65y = 0 + -494
152x + 20xy + 65y = 0 + -494

Combine like terms: 0 + -494 = -494
152x + 20xy + 65y = -494

Add '-65y' to each side of the equation.
152x + 20xy + 65y + -65y = -494 + -65y

Combine like terms: 65y + -65y = 0
152x + 20xy + 0 = -494 + -65y
152x + 20xy = -494 + -65y

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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