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Simplifying 4(10x + 5y) = 60xy (10x * 4 + 5y * 4) = 60xy (40x + 20y) = 60xy Solving 40x + 20y = 60xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60xy' to each side of the equation. 40x + -60xy + 20y = 60xy + -60xy Combine like terms: 60xy + -60xy = 0 40x + -60xy + 20y = 0 Add '-20y' to each side of the equation. 40x + -60xy + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 40x + -60xy + 0 = 0 + -20y 40x + -60xy = 0 + -20y Remove the zero: 40x + -60xy = -20y Combine like terms: -20y + 20y = 0 40x + -60xy + 20y = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(2x + -3xy + y) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(2x + -3xy + y)' equal to zero and attempt to solve: Simplifying 2x + -3xy + y = 0 Solving 2x + -3xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + -3xy + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + -3xy + 0 = 0 + -1y 2x + -3xy = 0 + -1y Remove the zero: 2x + -3xy = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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