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Simplifying 3xy + -5(x + -2xy) + -7x(2 + -1y) = 0 3xy + (x * -5 + -2xy * -5) + -7x(2 + -1y) = 0 3xy + (-5x + 10xy) + -7x(2 + -1y) = 0 3xy + -5x + 10xy + (2 * -7x + -1y * -7x) = 0 3xy + -5x + 10xy + (-14x + 7xy) = 0 Reorder the terms: -5x + -14x + 3xy + 10xy + 7xy = 0 Combine like terms: -5x + -14x = -19x -19x + 3xy + 10xy + 7xy = 0 Combine like terms: 3xy + 10xy = 13xy -19x + 13xy + 7xy = 0 Combine like terms: 13xy + 7xy = 20xy -19x + 20xy = 0 Solving -19x + 20xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(-19 + 20y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-19 + 20y)' equal to zero and attempt to solve: Simplifying -19 + 20y = 0 Solving -19 + 20y = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 20y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 20y = 0 + 19 20y = 0 + 19 Combine like terms: 0 + 19 = 19 20y = 19 Add '-20y' to each side of the equation. 20y + -20y = 19 + -20y Combine like terms: 20y + -20y = 0 0 = 19 + -20y Simplifying 0 = 19 + -20y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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