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Simplifying (6x2 + -1x)(2y + 3) * 3y = 0 Reorder the terms: (-1x + 6x2)(2y + 3) * 3y = 0 Reorder the terms: (-1x + 6x2)(3 + 2y) * 3y = 0 Reorder the terms for easier multiplication: 3y(-1x + 6x2)(3 + 2y) = 0 Multiply (-1x + 6x2) * (3 + 2y) 3y(-1x * (3 + 2y) + 6x2 * (3 + 2y)) = 0 3y((3 * -1x + 2y * -1x) + 6x2 * (3 + 2y)) = 0 3y((-3x + -2xy) + 6x2 * (3 + 2y)) = 0 3y(-3x + -2xy + (3 * 6x2 + 2y * 6x2)) = 0 3y(-3x + -2xy + (18x2 + 12x2y)) = 0 3y(-3x + -2xy + 18x2 + 12x2y) = 0 (-3x * 3y + -2xy * 3y + 18x2 * 3y + 12x2y * 3y) = 0 (-9xy + -6xy2 + 54x2y + 36x2y2) = 0 Solving -9xy + -6xy2 + 54x2y + 36x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-3 + -2y + 18x + 12xy) = 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 '(-3 + -2y + 18x + 12xy)' equal to zero and attempt to solve: Simplifying -3 + -2y + 18x + 12xy = 0 Reorder the terms: -3 + 18x + 12xy + -2y = 0 Solving -3 + 18x + 12xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 18x + 12xy + 3 + -2y = 0 + 3 Reorder the terms: -3 + 3 + 18x + 12xy + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 18x + 12xy + -2y = 0 + 3 18x + 12xy + -2y = 0 + 3 Combine like terms: 0 + 3 = 3 18x + 12xy + -2y = 3 Add '2y' to each side of the equation. 18x + 12xy + -2y + 2y = 3 + 2y Combine like terms: -2y + 2y = 0 18x + 12xy + 0 = 3 + 2y 18x + 12xy = 3 + 2y 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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