4x^5y^3+16x^4y^4+12x^3y^5=

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Solution for 4x^5y^3+16x^4y^4+12x^3y^5= equation:


Simplifying
4x5y3 + 16x4y4 + 12x3y5 = 0

Reorder the terms:
12x3y5 + 16x4y4 + 4x5y3 = 0

Solving
12x3y5 + 16x4y4 + 4x5y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3y3'.
4x3y3(3y2 + 4xy + x2) = 0

Factor a trinomial.
4x3y3((3y + x)(y + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x3y3' equal to zero and attempt to solve: Simplifying x3y3 = 0 Solving x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y3 = 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 '(3y + x)' equal to zero and attempt to solve: Simplifying 3y + x = 0 Reorder the terms: x + 3y = 0 Solving x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x + 0 = 0 + -3y x = 0 + -3y Remove the zero: x = -3y Simplifying x = -3y

Subproblem 3

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

Solution

x = {-3y, -1y}

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