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Simplifying 0 = -8xy + 8x + -7xy + -3x + -2x + 5xy Reorder the terms: 0 = 8x + -3x + -2x + -8xy + -7xy + 5xy Combine like terms: 8x + -3x = 5x 0 = 5x + -2x + -8xy + -7xy + 5xy Combine like terms: 5x + -2x = 3x 0 = 3x + -8xy + -7xy + 5xy Combine like terms: -8xy + -7xy = -15xy 0 = 3x + -15xy + 5xy Combine like terms: -15xy + 5xy = -10xy 0 = 3x + -10xy Solving 0 = 3x + -10xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0 + -3x = 3x + -3x + -10xy Remove the zero: -3x = 3x + -3x + -10xy Combine like terms: 3x + -3x = 0 -3x = 0 + -10xy -3x = -10xy Add '10xy' to each side of the equation. -3x + 10xy = -10xy + 10xy Combine like terms: -10xy + 10xy = 0 -3x + 10xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 10y) = 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 '(-3 + 10y)' equal to zero and attempt to solve: Simplifying -3 + 10y = 0 Solving -3 + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10y = 0 + 3 10y = 0 + 3 Combine like terms: 0 + 3 = 3 10y = 3 Add '-10y' to each side of the equation. 10y + -10y = 3 + -10y Combine like terms: 10y + -10y = 0 0 = 3 + -10y Simplifying 0 = 3 + -10y 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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