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Simplifying (X + -5)(8x + -4) = 0 Reorder the terms: (-5 + X)(8x + -4) = 0 Reorder the terms: (-5 + X)(-4 + 8x) = 0 Multiply (-5 + X) * (-4 + 8x) (-5(-4 + 8x) + X(-4 + 8x)) = 0 ((-4 * -5 + 8x * -5) + X(-4 + 8x)) = 0 ((20 + -40x) + X(-4 + 8x)) = 0 (20 + -40x + (-4 * X + 8x * X)) = 0 (20 + -40x + (-4X + 8xX)) = 0 Reorder the terms: (20 + -4X + -40x + 8xX) = 0 (20 + -4X + -40x + 8xX) = 0 Solving 20 + -4X + -40x + 8xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4X + -40x + -20 + 8xX = 0 + -20 Reorder the terms: 20 + -20 + -4X + -40x + 8xX = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4X + -40x + 8xX = 0 + -20 -4X + -40x + 8xX = 0 + -20 Combine like terms: 0 + -20 = -20 -4X + -40x + 8xX = -20 Add '40x' to each side of the equation. -4X + -40x + 40x + 8xX = -20 + 40x Combine like terms: -40x + 40x = 0 -4X + 0 + 8xX = -20 + 40x -4X + 8xX = -20 + 40x Reorder the terms: 20 + -4X + -40x + 8xX = -20 + 40x + 20 + -40x Reorder the terms: 20 + -4X + -40x + 8xX = -20 + 20 + 40x + -40x Combine like terms: -20 + 20 = 0 20 + -4X + -40x + 8xX = 0 + 40x + -40x 20 + -4X + -40x + 8xX = 40x + -40x Combine like terms: 40x + -40x = 0 20 + -4X + -40x + 8xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(5 + -1X + -10x + 2xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -1X + -10x + 2xX)' equal to zero and attempt to solve: Simplifying 5 + -1X + -10x + 2xX = 0 Solving 5 + -1X + -10x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1X + -10x + -5 + 2xX = 0 + -5 Reorder the terms: 5 + -5 + -1X + -10x + 2xX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X + -10x + 2xX = 0 + -5 -1X + -10x + 2xX = 0 + -5 Combine like terms: 0 + -5 = -5 -1X + -10x + 2xX = -5 Add '10x' to each side of the equation. -1X + -10x + 10x + 2xX = -5 + 10x Combine like terms: -10x + 10x = 0 -1X + 0 + 2xX = -5 + 10x -1X + 2xX = -5 + 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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