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Simplifying 40x3y + 10xy3 = 0 Reorder the terms: 10xy3 + 40x3y = 0 Solving 10xy3 + 40x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10xy'. 10xy(y2 + 4x2) = 0 Ignore the factor 10.Subproblem 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 '(y2 + 4x2)' equal to zero and attempt to solve: Simplifying y2 + 4x2 = 0 Reorder the terms: 4x2 + y2 = 0 Solving 4x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 4x2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 4x2 + 0 = 0 + -1y2 4x2 = 0 + -1y2 Remove the zero: 4x2 = -1y2 Divide each side by '4'. x2 = -0.25y2 Simplifying x2 = -0.25y2 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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