-35x^2y^2+4xy^2+4y^2=

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Solution for -35x^2y^2+4xy^2+4y^2= equation:


Simplifying
-35x2y2 + 4xy2 + 4y2 = 0

Reorder the terms:
4xy2 + -35x2y2 + 4y2 = 0

Solving
4xy2 + -35x2y2 + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(4x + -35x2 + 4) = 0

Factor a trinomial.
y2((-7x + -2)(5x + -2)) = 0

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 '(-7x + -2)' equal to zero and attempt to solve: Simplifying -7x + -2 = 0 Reorder the terms: -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857

Subproblem 3

Set the factor '(5x + -2)' equal to zero and attempt to solve: Simplifying 5x + -2 = 0 Reorder the terms: -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-0.2857142857, 0.4}

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