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Simplifying (4x + 5)(2X + -5) = 105 Reorder the terms: (5 + 4x)(2X + -5) = 105 Reorder the terms: (5 + 4x)(-5 + 2X) = 105 Multiply (5 + 4x) * (-5 + 2X) (5(-5 + 2X) + 4x * (-5 + 2X)) = 105 ((-5 * 5 + 2X * 5) + 4x * (-5 + 2X)) = 105 ((-25 + 10X) + 4x * (-5 + 2X)) = 105 (-25 + 10X + (-5 * 4x + 2X * 4x)) = 105 (-25 + 10X + (-20x + 8xX)) = 105 (-25 + 10X + -20x + 8xX) = 105 Solving -25 + 10X + -20x + 8xX = 105 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 10X + -20x + 25 + 8xX = 105 + 25 Reorder the terms: -25 + 25 + 10X + -20x + 8xX = 105 + 25 Combine like terms: -25 + 25 = 0 0 + 10X + -20x + 8xX = 105 + 25 10X + -20x + 8xX = 105 + 25 Combine like terms: 105 + 25 = 130 10X + -20x + 8xX = 130 Add '20x' to each side of the equation. 10X + -20x + 20x + 8xX = 130 + 20x Combine like terms: -20x + 20x = 0 10X + 0 + 8xX = 130 + 20x 10X + 8xX = 130 + 20x Reorder the terms: -130 + 10X + -20x + 8xX = 130 + 20x + -130 + -20x Reorder the terms: -130 + 10X + -20x + 8xX = 130 + -130 + 20x + -20x Combine like terms: 130 + -130 = 0 -130 + 10X + -20x + 8xX = 0 + 20x + -20x -130 + 10X + -20x + 8xX = 20x + -20x Combine like terms: 20x + -20x = 0 -130 + 10X + -20x + 8xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-65 + 5X + -10x + 4xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-65 + 5X + -10x + 4xX)' equal to zero and attempt to solve: Simplifying -65 + 5X + -10x + 4xX = 0 Solving -65 + 5X + -10x + 4xX = 0 Move all terms containing X to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 5X + -10x + 65 + 4xX = 0 + 65 Reorder the terms: -65 + 65 + 5X + -10x + 4xX = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 5X + -10x + 4xX = 0 + 65 5X + -10x + 4xX = 0 + 65 Combine like terms: 0 + 65 = 65 5X + -10x + 4xX = 65 Add '10x' to each side of the equation. 5X + -10x + 10x + 4xX = 65 + 10x Combine like terms: -10x + 10x = 0 5X + 0 + 4xX = 65 + 10x 5X + 4xX = 65 + 10x 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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