-35x^2y^2+4xy^2+15y^2=

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Solution for -35x^2y^2+4xy^2+15y^2= equation:


Simplifying
-35x2y2 + 4xy2 + 15y2 = 0

Reorder the terms:
4xy2 + -35x2y2 + 15y2 = 0

Solving
4xy2 + -35x2y2 + 15y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(4x + -35x2 + 15) = 0

Factor a trinomial.
y2((-5x + -3)(7x + -5)) = 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 '(-5x + -3)' equal to zero and attempt to solve: Simplifying -5x + -3 = 0 Reorder the terms: -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6

Subproblem 3

Set the factor '(7x + -5)' equal to zero and attempt to solve: Simplifying 7x + -5 = 0 Reorder the terms: -5 + 7x = 0 Solving -5 + 7x = 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 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143

Solution

x = {-0.6, 0.7142857143}

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