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Simplifying 6x2y + -21x3y2 + 3x2y3 = 0 Reorder the terms: 6x2y + 3x2y3 + -21x3y2 = 0 Solving 6x2y + 3x2y3 + -21x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(2 + y2 + -7xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(2 + y2 + -7xy)' equal to zero and attempt to solve: Simplifying 2 + y2 + -7xy = 0 Reorder the terms: 2 + -7xy + y2 = 0 Solving 2 + -7xy + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7xy + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -7xy + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7xy + y2 = 0 + -2 -7xy + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -7xy + y2 = -2 Add '-1y2' to each side of the equation. -7xy + y2 + -1y2 = -2 + -1y2 Combine like terms: y2 + -1y2 = 0 -7xy + 0 = -2 + -1y2 -7xy = -2 + -1y2 Divide each side by '-7y'. x = 0.2857142857y-1 + 0.1428571429y Simplifying x = 0.2857142857y-1 + 0.1428571429ySolution
x = {0.2857142857y-1 + 0.1428571429y}
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