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Simplifying 7x2y + (-10xy) + 7xy + (-6xy2) = 0 Reorder the terms: (-10xy) + 7xy + (-6xy2) + 7x2y = 0 Combine like terms: (-10xy) + 7xy = -3xy -3xy + (-6xy2) + 7x2y = 0 Solving -3xy + (-6xy2) + 7x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-3 + (-6y) + 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 '(-3 + (-6y) + 7x)' equal to zero and attempt to solve: Simplifying -3 + (-6y) + 7x = 0 Reorder the terms: -3 + 7x + (-6y) = 0 Solving -3 + 7x + (-6y) = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7x + 3 + (-6y) = 0 + 3 Reorder the terms: -3 + 3 + 7x + (-6y) = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x + (-6y) = 0 + 3 7x + (-6y) = 0 + 3 Combine like terms: 0 + 3 = 3 7x + (-6y) = 3 Add '(6y)' to each side of the equation. 7x + (-6y) + (6y) = 3 + (6y) Combine like terms: (-6y) + (6y) = 0 7x + 0 = 3 + (6y) 7x = 3 + (6y) Divide each side by '7'. x = 0.4285714286 + (0.8571428571y) Simplifying x = 0.4285714286 + (0.8571428571y)Solution
x = {0.4285714286 + (0.8571428571y)}
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