(x+y)(30x+32768x-x)=

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Solution for (x+y)(30x+32768x-x)= equation: 


Simplifying
(x + y)(30x + 32768x + -1x) = 0

Combine like terms: 30x + 32768x = 32798x
(x + y)(32798x + -1x) = 0

Combine like terms: 32798x + -1x = 32797x
(x + y)(32797x) = 0

Remove parenthesis around (32797x)
(x + y) * 32797x = 0

Reorder the terms for easier multiplication:
32797x(x + y) = 0
(x * 32797x + y * 32797x) = 0

Reorder the terms:
(32797xy + 32797x2) = 0
(32797xy + 32797x2) = 0

Solving
32797xy + 32797x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32797x'.
32797x(y + x) = 0

Ignore the factor 32797.

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 '(y + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

Add '-1y' to each side of the equation.
x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y

Simplifying
x = -1y
Solution
x = {0, -1y}

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