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Simplifying (38 + -2X)(20 + -2x) = 1000 Multiply (38 + -2X) * (20 + -2x) (38(20 + -2x) + -2X * (20 + -2x)) = 1000 ((20 * 38 + -2x * 38) + -2X * (20 + -2x)) = 1000 ((760 + -76x) + -2X * (20 + -2x)) = 1000 (760 + -76x + (20 * -2X + -2x * -2X)) = 1000 (760 + -76x + (-40X + 4xX)) = 1000 Reorder the terms: (760 + -40X + -76x + 4xX) = 1000 (760 + -40X + -76x + 4xX) = 1000 Solving 760 + -40X + -76x + 4xX = 1000 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-760' to each side of the equation. 760 + -40X + -76x + -760 + 4xX = 1000 + -760 Reorder the terms: 760 + -760 + -40X + -76x + 4xX = 1000 + -760 Combine like terms: 760 + -760 = 0 0 + -40X + -76x + 4xX = 1000 + -760 -40X + -76x + 4xX = 1000 + -760 Combine like terms: 1000 + -760 = 240 -40X + -76x + 4xX = 240 Add '76x' to each side of the equation. -40X + -76x + 76x + 4xX = 240 + 76x Combine like terms: -76x + 76x = 0 -40X + 0 + 4xX = 240 + 76x -40X + 4xX = 240 + 76x Reorder the terms: -240 + -40X + -76x + 4xX = 240 + 76x + -240 + -76x Reorder the terms: -240 + -40X + -76x + 4xX = 240 + -240 + 76x + -76x Combine like terms: 240 + -240 = 0 -240 + -40X + -76x + 4xX = 0 + 76x + -76x -240 + -40X + -76x + 4xX = 76x + -76x Combine like terms: 76x + -76x = 0 -240 + -40X + -76x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-60 + -10X + -19x + xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-60 + -10X + -19x + xX)' equal to zero and attempt to solve: Simplifying -60 + -10X + -19x + xX = 0 Solving -60 + -10X + -19x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -10X + -19x + 60 + xX = 0 + 60 Reorder the terms: -60 + 60 + -10X + -19x + xX = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -10X + -19x + xX = 0 + 60 -10X + -19x + xX = 0 + 60 Combine like terms: 0 + 60 = 60 -10X + -19x + xX = 60 Add '19x' to each side of the equation. -10X + -19x + 19x + xX = 60 + 19x Combine like terms: -19x + 19x = 0 -10X + 0 + xX = 60 + 19x -10X + xX = 60 + 19x 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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