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Simplifying 24x2y3 + -36x3y2 + 18x2y2 = 0 Reorder the terms: 18x2y2 + 24x2y3 + -36x3y2 = 0 Solving 18x2y2 + 24x2y3 + -36x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2y2'. 6x2y2(3 + 4y + -6x) = 0 Ignore the factor 6.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 '(3 + 4y + -6x)' equal to zero and attempt to solve: Simplifying 3 + 4y + -6x = 0 Reorder the terms: 3 + -6x + 4y = 0 Solving 3 + -6x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6x + -3 + 4y = 0 + -3 Reorder the terms: 3 + -3 + -6x + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6x + 4y = 0 + -3 -6x + 4y = 0 + -3 Combine like terms: 0 + -3 = -3 -6x + 4y = -3 Add '-4y' to each side of the equation. -6x + 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = -3 + -4y -6x = -3 + -4y Divide each side by '-6'. x = 0.5 + 0.6666666667y Simplifying x = 0.5 + 0.6666666667ySolution
x = {0.5 + 0.6666666667y}
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