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Simplifying 42x3y + -21x2y2 + 77x2y = 0 Reorder the terms: 77x2y + -21x2y2 + 42x3y = 0 Solving 77x2y + -21x2y2 + 42x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y'. 7x2y(11 + -3y + 6x) = 0 Ignore the factor 7.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 '(11 + -3y + 6x)' equal to zero and attempt to solve: Simplifying 11 + -3y + 6x = 0 Reorder the terms: 11 + 6x + -3y = 0 Solving 11 + 6x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 6x + -11 + -3y = 0 + -11 Reorder the terms: 11 + -11 + 6x + -3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x + -3y = 0 + -11 6x + -3y = 0 + -11 Combine like terms: 0 + -11 = -11 6x + -3y = -11 Add '3y' to each side of the equation. 6x + -3y + 3y = -11 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = -11 + 3y 6x = -11 + 3y Divide each side by '6'. x = -1.833333333 + 0.5y Simplifying x = -1.833333333 + 0.5ySolution
x = {-1.833333333 + 0.5y}
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