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Simplifying 4x(12 + 7x) * 3y(18 + -6y) = 0 Reorder the terms for easier multiplication: 4 * 3x * y(12 + 7x)(18 + -6y) = 0 Multiply 4 * 3 12x * y(12 + 7x)(18 + -6y) = 0 Multiply x * y 12xy(12 + 7x)(18 + -6y) = 0 Multiply (12 + 7x) * (18 + -6y) 12xy(12(18 + -6y) + 7x * (18 + -6y)) = 0 12xy((18 * 12 + -6y * 12) + 7x * (18 + -6y)) = 0 12xy((216 + -72y) + 7x * (18 + -6y)) = 0 12xy(216 + -72y + (18 * 7x + -6y * 7x)) = 0 12xy(216 + -72y + (126x + -42xy)) = 0 Reorder the terms: 12xy(216 + 126x + -42xy + -72y) = 0 12xy(216 + 126x + -42xy + -72y) = 0 (216 * 12xy + 126x * 12xy + -42xy * 12xy + -72y * 12xy) = 0 Reorder the terms: (2592xy + -864xy2 + 1512x2y + -504x2y2) = 0 (2592xy + -864xy2 + 1512x2y + -504x2y2) = 0 Solving 2592xy + -864xy2 + 1512x2y + -504x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '72xy'. 72xy(36 + -12y + 21x + -7xy) = 0 Ignore the factor 72.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 '(36 + -12y + 21x + -7xy)' equal to zero and attempt to solve: Simplifying 36 + -12y + 21x + -7xy = 0 Reorder the terms: 36 + 21x + -7xy + -12y = 0 Solving 36 + 21x + -7xy + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 21x + -7xy + -36 + -12y = 0 + -36 Reorder the terms: 36 + -36 + 21x + -7xy + -12y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 21x + -7xy + -12y = 0 + -36 21x + -7xy + -12y = 0 + -36 Combine like terms: 0 + -36 = -36 21x + -7xy + -12y = -36 Add '12y' to each side of the equation. 21x + -7xy + -12y + 12y = -36 + 12y Combine like terms: -12y + 12y = 0 21x + -7xy + 0 = -36 + 12y 21x + -7xy = -36 + 12y 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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