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Simplifying -3xy(4x2y2 + -6xy) + 10x3y3 = 0 Reorder the terms: -3xy(-6xy + 4x2y2) + 10x3y3 = 0 (-6xy * -3xy + 4x2y2 * -3xy) + 10x3y3 = 0 (18x2y2 + -12x3y3) + 10x3y3 = 0 Combine like terms: -12x3y3 + 10x3y3 = -2x3y3 18x2y2 + -2x3y3 = 0 Solving 18x2y2 + -2x3y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y2'. 2x2y2(9 + -1xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(9 + -1xy)' equal to zero and attempt to solve: Simplifying 9 + -1xy = 0 Solving 9 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1xy = 0 + -9 -1xy = 0 + -9 Combine like terms: 0 + -9 = -9 -1xy = -9 Divide each side by '-1y'. x = 9y-1 Simplifying x = 9y-1Solution
x = {9y-1}
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