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Simplifying 0 = 12x3y2 + 14xy Reorder the terms: 0 = 14xy + 12x3y2 Solving 0 = 14xy + 12x3y2 Solving for variable 'x'. Remove the zero: -14xy + -12x3y2 = 14xy + 12x3y2 + -14xy + -12x3y2 Reorder the terms: -14xy + -12x3y2 = 14xy + -14xy + 12x3y2 + -12x3y2 Combine like terms: 14xy + -14xy = 0 -14xy + -12x3y2 = 0 + 12x3y2 + -12x3y2 -14xy + -12x3y2 = 12x3y2 + -12x3y2 Combine like terms: 12x3y2 + -12x3y2 = 0 -14xy + -12x3y2 = 0 Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(7 + 6x2y) = 0 Ignore the factor -2.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 '(7 + 6x2y)' equal to zero and attempt to solve: Simplifying 7 + 6x2y = 0 Solving 7 + 6x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x2y = 0 + -7 6x2y = 0 + -7 Combine like terms: 0 + -7 = -7 6x2y = -7 Divide each side by '6y'. x2 = -1.166666667y-1 Simplifying x2 = -1.166666667y-1 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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