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Simplifying 2x + 4y(91 + -1x) = 280 2x + (91 * 4y + -1x * 4y) = 280 Reorder the terms: 2x + (-4xy + 364y) = 280 2x + (-4xy + 364y) = 280 Solving 2x + -4xy + 364y = 280 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-364y' to each side of the equation. 2x + -4xy + 364y + -364y = 280 + -364y Combine like terms: 364y + -364y = 0 2x + -4xy + 0 = 280 + -364y 2x + -4xy = 280 + -364y Reorder the terms: -280 + 2x + -4xy + 364y = 280 + -364y + -280 + 364y Reorder the terms: -280 + 2x + -4xy + 364y = 280 + -280 + -364y + 364y Combine like terms: 280 + -280 = 0 -280 + 2x + -4xy + 364y = 0 + -364y + 364y -280 + 2x + -4xy + 364y = -364y + 364y Combine like terms: -364y + 364y = 0 -280 + 2x + -4xy + 364y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-140 + x + -2xy + 182y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-140 + x + -2xy + 182y)' equal to zero and attempt to solve: Simplifying -140 + x + -2xy + 182y = 0 Solving -140 + x + -2xy + 182y = 0 Move all terms containing x to the left, all other terms to the right. Add '140' to each side of the equation. -140 + x + -2xy + 140 + 182y = 0 + 140 Reorder the terms: -140 + 140 + x + -2xy + 182y = 0 + 140 Combine like terms: -140 + 140 = 0 0 + x + -2xy + 182y = 0 + 140 x + -2xy + 182y = 0 + 140 Combine like terms: 0 + 140 = 140 x + -2xy + 182y = 140 Add '-182y' to each side of the equation. x + -2xy + 182y + -182y = 140 + -182y Combine like terms: 182y + -182y = 0 x + -2xy + 0 = 140 + -182y x + -2xy = 140 + -182y 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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