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Simplifying 9y(3x + 2y) + 3x(6 + -18y) = 0 (3x * 9y + 2y * 9y) + 3x(6 + -18y) = 0 (27xy + 18y2) + 3x(6 + -18y) = 0 27xy + 18y2 + (6 * 3x + -18y * 3x) = 0 27xy + 18y2 + (18x + -54xy) = 0 Reorder the terms: 18x + 27xy + -54xy + 18y2 = 0 Combine like terms: 27xy + -54xy = -27xy 18x + -27xy + 18y2 = 0 Solving 18x + -27xy + 18y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y2' to each side of the equation. 18x + -27xy + 18y2 + -18y2 = 0 + -18y2 Combine like terms: 18y2 + -18y2 = 0 18x + -27xy + 0 = 0 + -18y2 18x + -27xy = 0 + -18y2 Remove the zero: 18x + -27xy = -18y2 Combine like terms: -18y2 + 18y2 = 0 18x + -27xy + 18y2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(2x + -3xy + 2y2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(2x + -3xy + 2y2)' equal to zero and attempt to solve: Simplifying 2x + -3xy + 2y2 = 0 Solving 2x + -3xy + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 2x + -3xy + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x + -3xy + 0 = 0 + -2y2 2x + -3xy = 0 + -2y2 Remove the zero: 2x + -3xy = -2y2 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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