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Simplifying 3x * 4y = 20x Reorder the terms for easier multiplication: 3 * 4x * y = 20x Multiply 3 * 4 12x * y = 20x Multiply x * y 12xy = 20x Solving 12xy = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20x + 12xy = 20x + -20x Combine like terms: 20x + -20x = 0 -20x + 12xy = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-5 + 3y) = 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 '(-5 + 3y)' equal to zero and attempt to solve: Simplifying -5 + 3y = 0 Solving -5 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 0 + 5 3y = 0 + 5 Combine like terms: 0 + 5 = 5 3y = 5 Add '-3y' to each side of the equation. 3y + -3y = 5 + -3y Combine like terms: 3y + -3y = 0 0 = 5 + -3y Simplifying 0 = 5 + -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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