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Simplifying 14x2y3 + -4xy2 + 10xy = 0 Reorder the terms: 10xy + -4xy2 + 14x2y3 = 0 Solving 10xy + -4xy2 + 14x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(5 + -2y + 7xy2) = 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 '(5 + -2y + 7xy2)' equal to zero and attempt to solve: Simplifying 5 + -2y + 7xy2 = 0 Reorder the terms: 5 + 7xy2 + -2y = 0 Solving 5 + 7xy2 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7xy2 + -5 + -2y = 0 + -5 Reorder the terms: 5 + -5 + 7xy2 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7xy2 + -2y = 0 + -5 7xy2 + -2y = 0 + -5 Combine like terms: 0 + -5 = -5 7xy2 + -2y = -5 Add '2y' to each side of the equation. 7xy2 + -2y + 2y = -5 + 2y Combine like terms: -2y + 2y = 0 7xy2 + 0 = -5 + 2y 7xy2 = -5 + 2y Divide each side by '7y2'. x = -0.7142857143y-2 + 0.2857142857y-1 Simplifying x = -0.7142857143y-2 + 0.2857142857y-1Solution
x = {-0.7142857143y-2 + 0.2857142857y-1}
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