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