10xy+16x^3=15xy^3+3x+7x^2

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Solution for 10xy+16x^3=15xy^3+3x+7x^2 equation: 


Simplifying
10xy + 16x3 = 15xy3 + 3x + 7x2

Reorder the terms:
10xy + 16x3 = 3x + 15xy3 + 7x2

Solving
10xy + 16x3 = 3x + 15xy3 + 7x2

Solving for variable 'x'.

Reorder the terms:
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 3x + 15xy3 + 7x2 + -3x + -15xy3 + -7x2

Reorder the terms:
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 3x + -3x + 15xy3 + -15xy3 + 7x2 + -7x2

Combine like terms: 3x + -3x = 0
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 0 + 15xy3 + -15xy3 + 7x2 + -7x2
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 15xy3 + -15xy3 + 7x2 + -7x2

Combine like terms: 15xy3 + -15xy3 = 0
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 0 + 7x2 + -7x2
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-3x + 10xy + -15xy3 + -7x2 + 16x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 10y + -15y3 + -7x + 16x2) = 0


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 '(-3 + 10y + -15y3 + -7x + 16x2)' equal to zero and attempt to solve:

Simplifying
-3 + 10y + -15y3 + -7x + 16x2 = 0

Reorder the terms:
-3 + -7x + 16x2 + 10y + -15y3 = 0

Solving
-3 + -7x + 16x2 + 10y + -15y3 = 0

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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