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Simplifying (9x2y + -5xy + 4xy2) + -1(4x2y + 10xy + 3xy2) = 0 Reorder the terms: (-5xy + 4xy2 + 9x2y) + -1(4x2y + 10xy + 3xy2) = 0 Remove parenthesis around (-5xy + 4xy2 + 9x2y) -5xy + 4xy2 + 9x2y + -1(4x2y + 10xy + 3xy2) = 0 Reorder the terms: -5xy + 4xy2 + 9x2y + -1(10xy + 3xy2 + 4x2y) = 0 -5xy + 4xy2 + 9x2y + (10xy * -1 + 3xy2 * -1 + 4x2y * -1) = 0 -5xy + 4xy2 + 9x2y + (-10xy + -3xy2 + -4x2y) = 0 Reorder the terms: -5xy + -10xy + 4xy2 + -3xy2 + 9x2y + -4x2y = 0 Combine like terms: -5xy + -10xy = -15xy -15xy + 4xy2 + -3xy2 + 9x2y + -4x2y = 0 Combine like terms: 4xy2 + -3xy2 = 1xy2 -15xy + 1xy2 + 9x2y + -4x2y = 0 Combine like terms: 9x2y + -4x2y = 5x2y -15xy + 1xy2 + 5x2y = 0 Solving -15xy + 1xy2 + 5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-15 + y + 5x) = 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 '(-15 + y + 5x)' equal to zero and attempt to solve: Simplifying -15 + y + 5x = 0 Reorder the terms: -15 + 5x + y = 0 Solving -15 + 5x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5x + 15 + y = 0 + 15 Reorder the terms: -15 + 15 + 5x + y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5x + y = 0 + 15 5x + y = 0 + 15 Combine like terms: 0 + 15 = 15 5x + y = 15 Add '-1y' to each side of the equation. 5x + y + -1y = 15 + -1y Combine like terms: y + -1y = 0 5x + 0 = 15 + -1y 5x = 15 + -1y Divide each side by '5'. x = 3 + -0.2y Simplifying x = 3 + -0.2ySolution
x = {3 + -0.2y}
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