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Simplifying 24x7y + -96x3y3 = 0 Reorder the terms: -96x3y3 + 24x7y = 0 Solving -96x3y3 + 24x7y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '24x3y'. 24x3y(-4y2 + x4) = 0 Factor a difference between two squares. 24x3y((2y + x2)(-2y + x2)) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 '(2y + x2)' equal to zero and attempt to solve: Simplifying 2y + x2 = 0 Reorder the terms: x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2y + x2)' equal to zero and attempt to solve: Simplifying -2y + x2 = 0 Reorder the terms: x2 + -2y = 0 Solving x2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x2 + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x2 + 0 = 0 + 2y x2 = 0 + 2y Remove the zero: x2 = 2y Simplifying x2 = 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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