-32x^2y^4+12xy^4+20y^4=0

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Solution for -32x^2y^4+12xy^4+20y^4=0 equation:


Simplifying
-32x2y4 + 12xy4 + 20y4 = 0

Reorder the terms:
12xy4 + -32x2y4 + 20y4 = 0

Solving
12xy4 + -32x2y4 + 20y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4y4'.
4y4(3x + -8x2 + 5) = 0

Factor a trinomial.
4y4((-8x + -5)(x + -1)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. y4 + -1y4 = 0 + -1y4 Remove the zero: 0 = -1y4 Simplifying 0 = -1y4 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 '(-8x + -5)' equal to zero and attempt to solve: Simplifying -8x + -5 = 0 Reorder the terms: -5 + -8x = 0 Solving -5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625

Subproblem 3

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

Solution

x = {-0.625, 1}

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