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Simplifying (2X + -5)(2x + -5) + -16 = (2x + -1)(2x + -9) Reorder the terms: (-5 + 2X)(2x + -5) + -16 = (2x + -1)(2x + -9) Reorder the terms: (-5 + 2X)(-5 + 2x) + -16 = (2x + -1)(2x + -9) Multiply (-5 + 2X) * (-5 + 2x) (-5(-5 + 2x) + 2X * (-5 + 2x)) + -16 = (2x + -1)(2x + -9) ((-5 * -5 + 2x * -5) + 2X * (-5 + 2x)) + -16 = (2x + -1)(2x + -9) ((25 + -10x) + 2X * (-5 + 2x)) + -16 = (2x + -1)(2x + -9) (25 + -10x + (-5 * 2X + 2x * 2X)) + -16 = (2x + -1)(2x + -9) (25 + -10x + (-10X + 4xX)) + -16 = (2x + -1)(2x + -9) Reorder the terms: (25 + -10X + -10x + 4xX) + -16 = (2x + -1)(2x + -9) (25 + -10X + -10x + 4xX) + -16 = (2x + -1)(2x + -9) Reorder the terms: 25 + -16 + -10X + -10x + 4xX = (2x + -1)(2x + -9) Combine like terms: 25 + -16 = 9 9 + -10X + -10x + 4xX = (2x + -1)(2x + -9) Reorder the terms: 9 + -10X + -10x + 4xX = (-1 + 2x)(2x + -9) Reorder the terms: 9 + -10X + -10x + 4xX = (-1 + 2x)(-9 + 2x) Multiply (-1 + 2x) * (-9 + 2x) 9 + -10X + -10x + 4xX = (-1(-9 + 2x) + 2x * (-9 + 2x)) 9 + -10X + -10x + 4xX = ((-9 * -1 + 2x * -1) + 2x * (-9 + 2x)) 9 + -10X + -10x + 4xX = ((9 + -2x) + 2x * (-9 + 2x)) 9 + -10X + -10x + 4xX = (9 + -2x + (-9 * 2x + 2x * 2x)) 9 + -10X + -10x + 4xX = (9 + -2x + (-18x + 4x2)) Combine like terms: -2x + -18x = -20x 9 + -10X + -10x + 4xX = (9 + -20x + 4x2) Add '-9' to each side of the equation. 9 + -10X + -10x + -9 + 4xX = 9 + -20x + -9 + 4x2 Reorder the terms: 9 + -9 + -10X + -10x + 4xX = 9 + -20x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + -10X + -10x + 4xX = 9 + -20x + -9 + 4x2 -10X + -10x + 4xX = 9 + -20x + -9 + 4x2 Reorder the terms: -10X + -10x + 4xX = 9 + -9 + -20x + 4x2 Combine like terms: 9 + -9 = 0 -10X + -10x + 4xX = 0 + -20x + 4x2 -10X + -10x + 4xX = -20x + 4x2 Solving -10X + -10x + 4xX = -20x + 4x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10x' to each side of the equation. -10X + -10x + 10x + 4xX = -20x + 10x + 4x2 Combine like terms: -10x + 10x = 0 -10X + 0 + 4xX = -20x + 10x + 4x2 -10X + 4xX = -20x + 10x + 4x2 Combine like terms: -20x + 10x = -10x -10X + 4xX = -10x + 4x2 Reorder the terms: -10X + 10x + 4xX + -4x2 = -10x + 4x2 + 10x + -4x2 Reorder the terms: -10X + 10x + 4xX + -4x2 = -10x + 10x + 4x2 + -4x2 Combine like terms: -10x + 10x = 0 -10X + 10x + 4xX + -4x2 = 0 + 4x2 + -4x2 -10X + 10x + 4xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10X + 10x + 4xX + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5X + 5x + 2xX + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5X + 5x + 2xX + -2x2)' equal to zero and attempt to solve: Simplifying -5X + 5x + 2xX + -2x2 = 0 Solving -5X + 5x + 2xX + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. -5X + 5x + 2xX + -5x + -2x2 = 0 + -5x Reorder the terms: -5X + 5x + -5x + 2xX + -2x2 = 0 + -5x Combine like terms: 5x + -5x = 0 -5X + 0 + 2xX + -2x2 = 0 + -5x -5X + 2xX + -2x2 = 0 + -5x Remove the zero: -5X + 2xX + -2x2 = -5x Add '2x2' to each side of the equation. -5X + 2xX + -2x2 + 2x2 = -5x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -5X + 2xX + 0 = -5x + 2x2 -5X + 2xX = -5x + 2x2 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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