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Simplifying 14x2y + 4xy2 + 2xy = 0 Reorder the terms: 2xy + 4xy2 + 14x2y = 0 Solving 2xy + 4xy2 + 14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(1 + 2y + 7x) = 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 '(1 + 2y + 7x)' equal to zero and attempt to solve: Simplifying 1 + 2y + 7x = 0 Reorder the terms: 1 + 7x + 2y = 0 Solving 1 + 7x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7x + -1 + 2y = 0 + -1 Reorder the terms: 1 + -1 + 7x + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x + 2y = 0 + -1 7x + 2y = 0 + -1 Combine like terms: 0 + -1 = -1 7x + 2y = -1 Add '-2y' to each side of the equation. 7x + 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 7x + 0 = -1 + -2y 7x = -1 + -2y Divide each side by '7'. x = -0.1428571429 + -0.2857142857y Simplifying x = -0.1428571429 + -0.2857142857ySolution
x = {-0.1428571429 + -0.2857142857y}
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