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Simplifying 36x3y + -196xy3 = 0 Reorder the terms: -196xy3 + 36x3y = 0 Solving -196xy3 + 36x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(-49y2 + 9x2) = 0 Factor a difference between two squares. 4xy((7y + 3x)(-7y + 3x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(7y + 3x)' equal to zero and attempt to solve: Simplifying 7y + 3x = 0 Reorder the terms: 3x + 7y = 0 Solving 3x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 3x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 3x + 0 = 0 + -7y 3x = 0 + -7y Remove the zero: 3x = -7y Divide each side by '3'. x = -2.333333333y Simplifying x = -2.333333333ySubproblem 3
Set the factor '(-7y + 3x)' equal to zero and attempt to solve: Simplifying -7y + 3x = 0 Reorder the terms: 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 0 + 7y 3x = 0 + 7y Remove the zero: 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333ySolution
x = {-2.333333333y, 2.333333333y}
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