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Simplifying 4(x + 2(5xy + -1x)) = 0 Reorder the terms: 4(x + 2(-1x + 5xy)) = 0 4(x + (-1x * 2 + 5xy * 2)) = 0 4(x + (-2x + 10xy)) = 0 Combine like terms: x + -2x = -1x 4(-1x + 10xy) = 0 (-1x * 4 + 10xy * 4) = 0 (-4x + 40xy) = 0 Solving -4x + 40xy = 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), '4x'. 4x(-1 + 10y) = 0 Ignore the factor 4.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 '(-1 + 10y)' equal to zero and attempt to solve: Simplifying -1 + 10y = 0 Solving -1 + 10y = 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 + 10y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10y = 0 + 1 10y = 0 + 1 Combine like terms: 0 + 1 = 1 10y = 1 Add '-10y' to each side of the equation. 10y + -10y = 1 + -10y Combine like terms: 10y + -10y = 0 0 = 1 + -10y Simplifying 0 = 1 + -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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