7x^3y^2(4xy^2+3x)=0

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Solution for 7x^3y^2(4xy^2+3x)=0 equation:


Simplifying
7x3y2(4xy2 + 3x) = 0

Reorder the terms:
7x3y2(3x + 4xy2) = 0
(3x * 7x3y2 + 4xy2 * 7x3y2) = 0
(21x4y2 + 28x4y4) = 0

Solving
21x4y2 + 28x4y4 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '7x4y2'.
7x4y2(3 + 4y2) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'x4y2' equal to zero and attempt to solve: Simplifying x4y2 = 0 Solving x4y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y2 = 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 + 4y2)' equal to zero and attempt to solve: Simplifying 3 + 4y2 = 0 Solving 3 + 4y2 = 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 + 4y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y2 = 0 + -3 4y2 = 0 + -3 Combine like terms: 0 + -3 = -3 4y2 = -3 Add '-4y2' to each side of the equation. 4y2 + -4y2 = -3 + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = -3 + -4y2 Simplifying 0 = -3 + -4y2 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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