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Simplifying 3xy(4x2 + -3y + 2) = 0 Reorder the terms: 3xy(2 + 4x2 + -3y) = 0 (2 * 3xy + 4x2 * 3xy + -3y * 3xy) = 0 Reorder the terms: (6xy + -9xy2 + 12x3y) = 0 (6xy + -9xy2 + 12x3y) = 0 Solving 6xy + -9xy2 + 12x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(2 + -3y + 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 '(2 + -3y + 4x2)' equal to zero and attempt to solve: Simplifying 2 + -3y + 4x2 = 0 Reorder the terms: 2 + 4x2 + -3y = 0 Solving 2 + 4x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4x2 + -2 + -3y = 0 + -2 Reorder the terms: 2 + -2 + 4x2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x2 + -3y = 0 + -2 4x2 + -3y = 0 + -2 Combine like terms: 0 + -2 = -2 4x2 + -3y = -2 Add '3y' to each side of the equation. 4x2 + -3y + 3y = -2 + 3y Combine like terms: -3y + 3y = 0 4x2 + 0 = -2 + 3y 4x2 = -2 + 3y Divide each side by '4'. x2 = -0.5 + 0.75y Simplifying x2 = -0.5 + 0.75y 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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