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Simplifying (4xy2 + -10xy + 4xy2) + -1(10x2y + 7xy + 2xy2) = 0 Reorder the terms: (-10xy + 4xy2 + 4xy2) + -1(10x2y + 7xy + 2xy2) = 0 Combine like terms: 4xy2 + 4xy2 = 8xy2 (-10xy + 8xy2) + -1(10x2y + 7xy + 2xy2) = 0 Remove parenthesis around (-10xy + 8xy2) -10xy + 8xy2 + -1(10x2y + 7xy + 2xy2) = 0 Reorder the terms: -10xy + 8xy2 + -1(7xy + 2xy2 + 10x2y) = 0 -10xy + 8xy2 + (7xy * -1 + 2xy2 * -1 + 10x2y * -1) = 0 -10xy + 8xy2 + (-7xy + -2xy2 + -10x2y) = 0 Reorder the terms: -10xy + -7xy + 8xy2 + -2xy2 + -10x2y = 0 Combine like terms: -10xy + -7xy = -17xy -17xy + 8xy2 + -2xy2 + -10x2y = 0 Combine like terms: 8xy2 + -2xy2 = 6xy2 -17xy + 6xy2 + -10x2y = 0 Solving -17xy + 6xy2 + -10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-17 + 6y + -10x) = 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 '(-17 + 6y + -10x)' equal to zero and attempt to solve: Simplifying -17 + 6y + -10x = 0 Reorder the terms: -17 + -10x + 6y = 0 Solving -17 + -10x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + -10x + 17 + 6y = 0 + 17 Reorder the terms: -17 + 17 + -10x + 6y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -10x + 6y = 0 + 17 -10x + 6y = 0 + 17 Combine like terms: 0 + 17 = 17 -10x + 6y = 17 Add '-6y' to each side of the equation. -10x + 6y + -6y = 17 + -6y Combine like terms: 6y + -6y = 0 -10x + 0 = 17 + -6y -10x = 17 + -6y Divide each side by '-10'. x = -1.7 + 0.6y Simplifying x = -1.7 + 0.6ySolution
x = {-1.7 + 0.6y}
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