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Simplifying 7x2y + 4xy2 + -6xy + yx = 0 Reorder the terms: -6xy + xy + 4xy2 + 7x2y = 0 Combine like terms: -6xy + xy = -5xy -5xy + 4xy2 + 7x2y = 0 Solving -5xy + 4xy2 + 7x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-5 + 4y + 7x) = 0Subproblem 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 + 4y + 7x)' equal to zero and attempt to solve: Simplifying -5 + 4y + 7x = 0 Reorder the terms: -5 + 7x + 4y = 0 Solving -5 + 7x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 7x + 5 + 4y = 0 + 5 Reorder the terms: -5 + 5 + 7x + 4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x + 4y = 0 + 5 7x + 4y = 0 + 5 Combine like terms: 0 + 5 = 5 7x + 4y = 5 Add '-4y' to each side of the equation. 7x + 4y + -4y = 5 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 5 + -4y 7x = 5 + -4y Divide each side by '7'. x = 0.7142857143 + -0.5714285714y Simplifying x = 0.7142857143 + -0.5714285714ySolution
x = {0.7142857143 + -0.5714285714y}
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