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Simplifying 4x + (-5xy) + -3x = 0 Reorder the terms: 4x + -3x + (-5xy) = 0 Combine like terms: 4x + -3x = 1x 1x + (-5xy) = 0 Solving 1x + (-5xy) = 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(1 + (-5y)) = 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 '(1 + (-5y))' equal to zero and attempt to solve: Simplifying 1 + (-5y) = 0 Solving 1 + (-5y) = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (-5y) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (-5y) = 0 + -1 (-5y) = 0 + -1 Combine like terms: 0 + -1 = -1 (-5y) = -1 Add '(5y)' to each side of the equation. (-5y) + (5y) = -1 + (5y) Combine like terms: (-5y) + (5y) = 0 0 = -1 + (5y) Simplifying 0 = -1 + (5y) 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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