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Simplifying 8x4y2 + 24x2y2 + -32x2y = 0 Reorder the terms: -32x2y + 24x2y2 + 8x4y2 = 0 Solving -32x2y + 24x2y2 + 8x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x2y'. 8x2y(-4 + 3y + x2y) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-4 + 3y + x2y)' equal to zero and attempt to solve: Simplifying -4 + 3y + x2y = 0 Reorder the terms: -4 + x2y + 3y = 0 Solving -4 + x2y + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x2y + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + x2y + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x2y + 3y = 0 + 4 x2y + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 x2y + 3y = 4 Add '-3y' to each side of the equation. x2y + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 x2y + 0 = 4 + -3y x2y = 4 + -3y Divide each side by 'y'. x2 = 4y-1 + -3 Simplifying x2 = 4y-1 + -3 Reorder the terms: x2 = -3 + 4y-1 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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