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Simplifying (20 + 2x)(25 + 2X) = (1.5)(20)(25) Multiply (20 + 2x) * (25 + 2X) (20(25 + 2X) + 2x * (25 + 2X)) = (1.5)(20)(25) ((25 * 20 + 2X * 20) + 2x * (25 + 2X)) = (1.5)(20)(25) ((500 + 40X) + 2x * (25 + 2X)) = (1.5)(20)(25) (500 + 40X + (25 * 2x + 2X * 2x)) = (1.5)(20)(25) (500 + 40X + (50x + 4xX)) = (1.5)(20)(25) (500 + 40X + 50x + 4xX) = (1.5)(20)(25) Multiply 1.5 * 20 500 + 40X + 50x + 4xX = 30 * 25 Multiply 30 * 25 500 + 40X + 50x + 4xX = 750 Solving 500 + 40X + 50x + 4xX = 750 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + 40X + 50x + -500 + 4xX = 750 + -500 Reorder the terms: 500 + -500 + 40X + 50x + 4xX = 750 + -500 Combine like terms: 500 + -500 = 0 0 + 40X + 50x + 4xX = 750 + -500 40X + 50x + 4xX = 750 + -500 Combine like terms: 750 + -500 = 250 40X + 50x + 4xX = 250 Add '-50x' to each side of the equation. 40X + 50x + -50x + 4xX = 250 + -50x Combine like terms: 50x + -50x = 0 40X + 0 + 4xX = 250 + -50x 40X + 4xX = 250 + -50x Reorder the terms: -250 + 40X + 50x + 4xX = 250 + -50x + -250 + 50x Reorder the terms: -250 + 40X + 50x + 4xX = 250 + -250 + -50x + 50x Combine like terms: 250 + -250 = 0 -250 + 40X + 50x + 4xX = 0 + -50x + 50x -250 + 40X + 50x + 4xX = -50x + 50x Combine like terms: -50x + 50x = 0 -250 + 40X + 50x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-125 + 20X + 25x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-125 + 20X + 25x + 2xX)' equal to zero and attempt to solve: Simplifying -125 + 20X + 25x + 2xX = 0 Solving -125 + 20X + 25x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 20X + 25x + 125 + 2xX = 0 + 125 Reorder the terms: -125 + 125 + 20X + 25x + 2xX = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 20X + 25x + 2xX = 0 + 125 20X + 25x + 2xX = 0 + 125 Combine like terms: 0 + 125 = 125 20X + 25x + 2xX = 125 Add '-25x' to each side of the equation. 20X + 25x + -25x + 2xX = 125 + -25x Combine like terms: 25x + -25x = 0 20X + 0 + 2xX = 125 + -25x 20X + 2xX = 125 + -25x 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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