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Simplifying 12x3y + -6x2y2 + 14x2y = 0 Reorder the terms: 14x2y + -6x2y2 + 12x3y = 0 Solving 14x2y + -6x2y2 + 12x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2y'. 2x2y(7 + -3y + 6x) = 0 Ignore the factor 2.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 '(7 + -3y + 6x)' equal to zero and attempt to solve: Simplifying 7 + -3y + 6x = 0 Reorder the terms: 7 + 6x + -3y = 0 Solving 7 + 6x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6x + -7 + -3y = 0 + -7 Reorder the terms: 7 + -7 + 6x + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x + -3y = 0 + -7 6x + -3y = 0 + -7 Combine like terms: 0 + -7 = -7 6x + -3y = -7 Add '3y' to each side of the equation. 6x + -3y + 3y = -7 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = -7 + 3y 6x = -7 + 3y Divide each side by '6'. x = -1.166666667 + 0.5y Simplifying x = -1.166666667 + 0.5ySolution
x = {-1.166666667 + 0.5y}
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