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Simplifying 35x2y3 + -21x2y + 28x4y2 = 0 Reorder the terms: -21x2y + 35x2y3 + 28x4y2 = 0 Solving -21x2y + 35x2y3 + 28x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y'. 7x2y(-3 + 5y2 + 4x2y) = 0 Ignore the factor 7.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 '(-3 + 5y2 + 4x2y)' equal to zero and attempt to solve: Simplifying -3 + 5y2 + 4x2y = 0 Reorder the terms: -3 + 4x2y + 5y2 = 0 Solving -3 + 4x2y + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4x2y + 3 + 5y2 = 0 + 3 Reorder the terms: -3 + 3 + 4x2y + 5y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x2y + 5y2 = 0 + 3 4x2y + 5y2 = 0 + 3 Combine like terms: 0 + 3 = 3 4x2y + 5y2 = 3 Add '-5y2' to each side of the equation. 4x2y + 5y2 + -5y2 = 3 + -5y2 Combine like terms: 5y2 + -5y2 = 0 4x2y + 0 = 3 + -5y2 4x2y = 3 + -5y2 Divide each side by '4y'. x2 = 0.75y-1 + -1.25y Simplifying x2 = 0.75y-1 + -1.25y 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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