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Simplifying 10x(6y + -8) = 0 Reorder the terms: 10x(-8 + 6y) = 0 (-8 * 10x + 6y * 10x) = 0 (-80x + 60xy) = 0 Solving -80x + 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), '20x'. 20x(-4 + 3y) = 0 Ignore the factor 20.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 '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Add '-3y' to each side of the equation. 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 0 = 4 + -3y Simplifying 0 = 4 + -3y 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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