112x^2y^2-168xy^3+63y^4=0

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Solution for 112x^2y^2-168xy^3+63y^4=0 equation:


Simplifying
112x2y2 + -168xy3 + 63y4 = 0

Reorder the terms:
-168xy3 + 112x2y2 + 63y4 = 0

Solving
-168xy3 + 112x2y2 + 63y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7y2'.
7y2(-24xy + 16x2 + 9y2) = 0

Factor a trinomial.
7y2((4x + -3y)(4x + -3y)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(4x + -3y)' equal to zero and attempt to solve: Simplifying 4x + -3y = 0 Solving 4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 0 + 3y 4x = 0 + 3y Remove the zero: 4x = 3y Divide each side by '4'. x = 0.75y Simplifying x = 0.75y

Subproblem 3

Set the factor '(4x + -3y)' equal to zero and attempt to solve: Simplifying 4x + -3y = 0 Solving 4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 0 + 3y 4x = 0 + 3y Remove the zero: 4x = 3y Divide each side by '4'. x = 0.75y Simplifying x = 0.75y

Solution

x = {0.75y, 0.75y}

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