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Simplifying 0 = 16x + 20xy Solving 0 = 16x + 20xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 0 + -16x = 16x + -16x + 20xy Remove the zero: -16x = 16x + -16x + 20xy Combine like terms: 16x + -16x = 0 -16x = 0 + 20xy -16x = 20xy Add '-20xy' to each side of the equation. -16x + -20xy = 20xy + -20xy Combine like terms: 20xy + -20xy = 0 -16x + -20xy = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(4 + 5y) = 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 '(4 + 5y)' equal to zero and attempt to solve: Simplifying 4 + 5y = 0 Solving 4 + 5y = 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 + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = 0 + -4 5y = 0 + -4 Combine like terms: 0 + -4 = -4 5y = -4 Add '-5y' to each side of the equation. 5y + -5y = -4 + -5y Combine like terms: 5y + -5y = 0 0 = -4 + -5y Simplifying 0 = -4 + -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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