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Simplifying 20x4y3 + -45x2y3 + -5x2y2 = 0 Reorder the terms: -5x2y2 + -45x2y3 + 20x4y3 = 0 Solving -5x2y2 + -45x2y3 + 20x4y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2y2'. 5x2y2(-1 + -9y + 4x2y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-1 + -9y + 4x2y)' equal to zero and attempt to solve: Simplifying -1 + -9y + 4x2y = 0 Reorder the terms: -1 + 4x2y + -9y = 0 Solving -1 + 4x2y + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4x2y + 1 + -9y = 0 + 1 Reorder the terms: -1 + 1 + 4x2y + -9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x2y + -9y = 0 + 1 4x2y + -9y = 0 + 1 Combine like terms: 0 + 1 = 1 4x2y + -9y = 1 Add '9y' to each side of the equation. 4x2y + -9y + 9y = 1 + 9y Combine like terms: -9y + 9y = 0 4x2y + 0 = 1 + 9y 4x2y = 1 + 9y Divide each side by '4y'. x2 = 0.25y-1 + 2.25 Simplifying x2 = 0.25y-1 + 2.25 Reorder the terms: x2 = 2.25 + 0.25y-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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