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Simplifying 2xy + 4x + 10y = 480 Reorder the terms: 4x + 2xy + 10y = 480 Solving 4x + 2xy + 10y = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 4x + 2xy + 10y + -10y = 480 + -10y Combine like terms: 10y + -10y = 0 4x + 2xy + 0 = 480 + -10y 4x + 2xy = 480 + -10y Reorder the terms: -480 + 4x + 2xy + 10y = 480 + -10y + -480 + 10y Reorder the terms: -480 + 4x + 2xy + 10y = 480 + -480 + -10y + 10y Combine like terms: 480 + -480 = 0 -480 + 4x + 2xy + 10y = 0 + -10y + 10y -480 + 4x + 2xy + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 -480 + 4x + 2xy + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-240 + 2x + xy + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-240 + 2x + xy + 5y)' equal to zero and attempt to solve: Simplifying -240 + 2x + xy + 5y = 0 Solving -240 + 2x + xy + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '240' to each side of the equation. -240 + 2x + xy + 240 + 5y = 0 + 240 Reorder the terms: -240 + 240 + 2x + xy + 5y = 0 + 240 Combine like terms: -240 + 240 = 0 0 + 2x + xy + 5y = 0 + 240 2x + xy + 5y = 0 + 240 Combine like terms: 0 + 240 = 240 2x + xy + 5y = 240 Add '-5y' to each side of the equation. 2x + xy + 5y + -5y = 240 + -5y Combine like terms: 5y + -5y = 0 2x + xy + 0 = 240 + -5y 2x + xy = 240 + -5y 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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