7x^2y^5+21x^2y^4=7x^2y^4

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Solution for 7x^2y^5+21x^2y^4=7x^2y^4 equation: 


Simplifying
7x2y5 + 21x2y4 = 7x2y4

Reorder the terms:
21x2y4 + 7x2y5 = 7x2y4

Solving
21x2y4 + 7x2y5 = 7x2y4

Solving for variable 'x'.

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

Add '-7x2y4' to each side of the equation.
21x2y4 + -7x2y4 + 7x2y5 = 7x2y4 + -7x2y4

Combine like terms: 21x2y4 + -7x2y4 = 14x2y4
14x2y4 + 7x2y5 = 7x2y4 + -7x2y4

Combine like terms: 7x2y4 + -7x2y4 = 0
14x2y4 + 7x2y5 = 0

Factor out the Greatest Common Factor (GCF), '7x2y4'.
7x2y4(2 + y) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x2y4' equal to zero and attempt to solve:

Simplifying
x2y4 = 0

Solving
x2y4 = 0

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

Simplifying
x2y4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Add '-1y' to each side of the equation.
y + -1y = -2 + -1y

Combine like terms: y + -1y = 0
0 = -2 + -1y

Simplifying
0 = -2 + -1y

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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