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Simplifying 5(3x + xy + -4y) = 0 (3x * 5 + xy * 5 + -4y * 5) = 0 (15x + 5xy + -20y) = 0 Solving 15x + 5xy + -20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20y' to each side of the equation. 15x + 5xy + -20y + 20y = 0 + 20y Combine like terms: -20y + 20y = 0 15x + 5xy + 0 = 0 + 20y 15x + 5xy = 0 + 20y Remove the zero: 15x + 5xy = 20y Combine like terms: 20y + -20y = 0 15x + 5xy + -20y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3x + xy + -4y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3x + xy + -4y)' equal to zero and attempt to solve: Simplifying 3x + xy + -4y = 0 Solving 3x + xy + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + xy + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 3x + xy + 0 = 0 + 4y 3x + xy = 0 + 4y Remove the zero: 3x + xy = 4y 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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