7x^2y^5+28x^2y^4=7x^2y^4

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Solution for 7x^2y^5+28x^2y^4=7x^2y^4 equation:


Simplifying
7x2y5 + 28x2y4 = 7x2y4

Reorder the terms:
28x2y4 + 7x2y5 = 7x2y4

Solving
28x2y4 + 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.
28x2y4 + -7x2y4 + 7x2y5 = 7x2y4 + -7x2y4

Combine like terms: 28x2y4 + -7x2y4 = 21x2y4
21x2y4 + 7x2y5 = 7x2y4 + -7x2y4

Combine like terms: 7x2y4 + -7x2y4 = 0
21x2y4 + 7x2y5 = 0

Factor out the Greatest Common Factor (GCF), '7x2y4'.
7x2y4(3 + 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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Add '-1y' to each side of the equation. y + -1y = -3 + -1y Combine like terms: y + -1y = 0 0 = -3 + -1y Simplifying 0 = -3 + -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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