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Simplifying -4(x + 5(-3xy + x)) = 0 Reorder the terms: -4(x + 5(x + -3xy)) = 0 -4(x + (x * 5 + -3xy * 5)) = 0 -4(x + (5x + -15xy)) = 0 Combine like terms: x + 5x = 6x -4(6x + -15xy) = 0 (6x * -4 + -15xy * -4) = 0 (-24x + 60xy) = 0 Solving -24x + 60xy = 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), '12x'. 12x(-2 + 5y) = 0 Ignore the factor 12.Subproblem 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 '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Add '-5y' to each side of the equation. 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 0 = 2 + -5y Simplifying 0 = 2 + -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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