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Simplifying 3xy(4x2 + 3y2) = 0 (4x2 * 3xy + 3y2 * 3xy) = 0 Reorder the terms: (9xy3 + 12x3y) = 0 (9xy3 + 12x3y) = 0 Solving 9xy3 + 12x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(3y2 + 4x2) = 0 Ignore the factor 3.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 '(3y2 + 4x2)' equal to zero and attempt to solve: Simplifying 3y2 + 4x2 = 0 Reorder the terms: 4x2 + 3y2 = 0 Solving 4x2 + 3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y2' to each side of the equation. 4x2 + 3y2 + -3y2 = 0 + -3y2 Combine like terms: 3y2 + -3y2 = 0 4x2 + 0 = 0 + -3y2 4x2 = 0 + -3y2 Remove the zero: 4x2 = -3y2 Divide each side by '4'. x2 = -0.75y2 Simplifying x2 = -0.75y2 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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