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Simplifying 14x2y + -21xy + 35xy2 = 0 Reorder the terms: -21xy + 35xy2 + 14x2y = 0 Solving -21xy + 35xy2 + 14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7xy'. 7xy(-3 + 5y + 2x) = 0 Ignore the factor 7.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 '(-3 + 5y + 2x)' equal to zero and attempt to solve: Simplifying -3 + 5y + 2x = 0 Reorder the terms: -3 + 2x + 5y = 0 Solving -3 + 2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x + 3 + 5y = 0 + 3 Reorder the terms: -3 + 3 + 2x + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x + 5y = 0 + 3 2x + 5y = 0 + 3 Combine like terms: 0 + 3 = 3 2x + 5y = 3 Add '-5y' to each side of the equation. 2x + 5y + -5y = 3 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 3 + -5y 2x = 3 + -5y Divide each side by '2'. x = 1.5 + -2.5y Simplifying x = 1.5 + -2.5ySolution
x = {1.5 + -2.5y}
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