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Simplifying 7xy + -4x2y + -2xy + -7xy2 = 0 Reorder the terms: 7xy + -2xy + -7xy2 + -4x2y = 0 Combine like terms: 7xy + -2xy = 5xy 5xy + -7xy2 + -4x2y = 0 Solving 5xy + -7xy2 + -4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(5 + -7y + -4x) = 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 + -7y + -4x)' equal to zero and attempt to solve: Simplifying 5 + -7y + -4x = 0 Reorder the terms: 5 + -4x + -7y = 0 Solving 5 + -4x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4x + -5 + -7y = 0 + -5 Reorder the terms: 5 + -5 + -4x + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + -7y = 0 + -5 -4x + -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -4x + -7y = -5 Add '7y' to each side of the equation. -4x + -7y + 7y = -5 + 7y Combine like terms: -7y + 7y = 0 -4x + 0 = -5 + 7y -4x = -5 + 7y Divide each side by '-4'. x = 1.25 + -1.75y Simplifying x = 1.25 + -1.75ySolution
x = {1.25 + -1.75y}
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