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Simplifying (4x + 24)(25 + 5y) = 25 + 5y Reorder the terms: (24 + 4x)(25 + 5y) = 25 + 5y Multiply (24 + 4x) * (25 + 5y) (24(25 + 5y) + 4x * (25 + 5y)) = 25 + 5y ((25 * 24 + 5y * 24) + 4x * (25 + 5y)) = 25 + 5y ((600 + 120y) + 4x * (25 + 5y)) = 25 + 5y (600 + 120y + (25 * 4x + 5y * 4x)) = 25 + 5y (600 + 120y + (100x + 20xy)) = 25 + 5y Reorder the terms: (600 + 100x + 20xy + 120y) = 25 + 5y (600 + 100x + 20xy + 120y) = 25 + 5y Solving 600 + 100x + 20xy + 120y = 25 + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + 100x + 20xy + -600 + 120y = 25 + -600 + 5y Reorder the terms: 600 + -600 + 100x + 20xy + 120y = 25 + -600 + 5y Combine like terms: 600 + -600 = 0 0 + 100x + 20xy + 120y = 25 + -600 + 5y 100x + 20xy + 120y = 25 + -600 + 5y Combine like terms: 25 + -600 = -575 100x + 20xy + 120y = -575 + 5y Add '-120y' to each side of the equation. 100x + 20xy + 120y + -120y = -575 + 5y + -120y Combine like terms: 120y + -120y = 0 100x + 20xy + 0 = -575 + 5y + -120y 100x + 20xy = -575 + 5y + -120y Combine like terms: 5y + -120y = -115y 100x + 20xy = -575 + -115y Reorder the terms: 575 + 100x + 20xy + 115y = -575 + -115y + 575 + 115y Reorder the terms: 575 + 100x + 20xy + 115y = -575 + 575 + -115y + 115y Combine like terms: -575 + 575 = 0 575 + 100x + 20xy + 115y = 0 + -115y + 115y 575 + 100x + 20xy + 115y = -115y + 115y Combine like terms: -115y + 115y = 0 575 + 100x + 20xy + 115y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(115 + 20x + 4xy + 23y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(115 + 20x + 4xy + 23y)' equal to zero and attempt to solve: Simplifying 115 + 20x + 4xy + 23y = 0 Solving 115 + 20x + 4xy + 23y = 0 Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + 20x + 4xy + -115 + 23y = 0 + -115 Reorder the terms: 115 + -115 + 20x + 4xy + 23y = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 20x + 4xy + 23y = 0 + -115 20x + 4xy + 23y = 0 + -115 Combine like terms: 0 + -115 = -115 20x + 4xy + 23y = -115 Add '-23y' to each side of the equation. 20x + 4xy + 23y + -23y = -115 + -23y Combine like terms: 23y + -23y = 0 20x + 4xy + 0 = -115 + -23y 20x + 4xy = -115 + -23y 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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