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Simplifying (4x + -16)(5X + 25) = 0 Reorder the terms: (-16 + 4x)(5X + 25) = 0 Reorder the terms: (-16 + 4x)(25 + 5X) = 0 Multiply (-16 + 4x) * (25 + 5X) (-16(25 + 5X) + 4x * (25 + 5X)) = 0 ((25 * -16 + 5X * -16) + 4x * (25 + 5X)) = 0 ((-400 + -80X) + 4x * (25 + 5X)) = 0 (-400 + -80X + (25 * 4x + 5X * 4x)) = 0 (-400 + -80X + (100x + 20xX)) = 0 (-400 + -80X + 100x + 20xX) = 0 Solving -400 + -80X + 100x + 20xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '400' to each side of the equation. -400 + -80X + 100x + 400 + 20xX = 0 + 400 Reorder the terms: -400 + 400 + -80X + 100x + 20xX = 0 + 400 Combine like terms: -400 + 400 = 0 0 + -80X + 100x + 20xX = 0 + 400 -80X + 100x + 20xX = 0 + 400 Combine like terms: 0 + 400 = 400 -80X + 100x + 20xX = 400 Add '-100x' to each side of the equation. -80X + 100x + -100x + 20xX = 400 + -100x Combine like terms: 100x + -100x = 0 -80X + 0 + 20xX = 400 + -100x -80X + 20xX = 400 + -100x Reorder the terms: -400 + -80X + 100x + 20xX = 400 + -100x + -400 + 100x Reorder the terms: -400 + -80X + 100x + 20xX = 400 + -400 + -100x + 100x Combine like terms: 400 + -400 = 0 -400 + -80X + 100x + 20xX = 0 + -100x + 100x -400 + -80X + 100x + 20xX = -100x + 100x Combine like terms: -100x + 100x = 0 -400 + -80X + 100x + 20xX = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-20 + -4X + 5x + xX) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-20 + -4X + 5x + xX)' equal to zero and attempt to solve: Simplifying -20 + -4X + 5x + xX = 0 Solving -20 + -4X + 5x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -4X + 5x + 20 + xX = 0 + 20 Reorder the terms: -20 + 20 + -4X + 5x + xX = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4X + 5x + xX = 0 + 20 -4X + 5x + xX = 0 + 20 Combine like terms: 0 + 20 = 20 -4X + 5x + xX = 20 Add '-5x' to each side of the equation. -4X + 5x + -5x + xX = 20 + -5x Combine like terms: 5x + -5x = 0 -4X + 0 + xX = 20 + -5x -4X + xX = 20 + -5x 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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