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Simplifying (X + -5)(10 + -5x) = 0 Reorder the terms: (-5 + X)(10 + -5x) = 0 Multiply (-5 + X) * (10 + -5x) (-5(10 + -5x) + X(10 + -5x)) = 0 ((10 * -5 + -5x * -5) + X(10 + -5x)) = 0 ((-50 + 25x) + X(10 + -5x)) = 0 (-50 + 25x + (10 * X + -5x * X)) = 0 (-50 + 25x + (10X + -5xX)) = 0 Reorder the terms: (-50 + 10X + 25x + -5xX) = 0 (-50 + 10X + 25x + -5xX) = 0 Solving -50 + 10X + 25x + -5xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 10X + 25x + 50 + -5xX = 0 + 50 Reorder the terms: -50 + 50 + 10X + 25x + -5xX = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 10X + 25x + -5xX = 0 + 50 10X + 25x + -5xX = 0 + 50 Combine like terms: 0 + 50 = 50 10X + 25x + -5xX = 50 Add '-25x' to each side of the equation. 10X + 25x + -25x + -5xX = 50 + -25x Combine like terms: 25x + -25x = 0 10X + 0 + -5xX = 50 + -25x 10X + -5xX = 50 + -25x Reorder the terms: -50 + 10X + 25x + -5xX = 50 + -25x + -50 + 25x Reorder the terms: -50 + 10X + 25x + -5xX = 50 + -50 + -25x + 25x Combine like terms: 50 + -50 = 0 -50 + 10X + 25x + -5xX = 0 + -25x + 25x -50 + 10X + 25x + -5xX = -25x + 25x Combine like terms: -25x + 25x = 0 -50 + 10X + 25x + -5xX = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + 2X + 5x + -1xX) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + 2X + 5x + -1xX)' equal to zero and attempt to solve: Simplifying -10 + 2X + 5x + -1xX = 0 Solving -10 + 2X + 5x + -1xX = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2X + 5x + 10 + -1xX = 0 + 10 Reorder the terms: -10 + 10 + 2X + 5x + -1xX = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2X + 5x + -1xX = 0 + 10 2X + 5x + -1xX = 0 + 10 Combine like terms: 0 + 10 = 10 2X + 5x + -1xX = 10 Add '-5x' to each side of the equation. 2X + 5x + -5x + -1xX = 10 + -5x Combine like terms: 5x + -5x = 0 2X + 0 + -1xX = 10 + -5x 2X + -1xX = 10 + -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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