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